Durango Bill's
"Pig (Pig-out)" Analysis
Probability of Reaching 100 in "N" Turns and Optimal Strategy
for the Dice Game "Pig" (also called Pig-out, Pass the Pigs)
(Lose turn total on single "1". Lose total score on double 1's.)
Statistics for
the Dice Game of Pig (Pig-Out, Pass the Pigs)
This table shows the probability (in percent) of reaching 100
or more in "N" turns if using Optimal Strategy (See below).
(All values for a Start-of-Turn score of 100 or higher = 100.0.)
(Lose turn total on single "1". Lose total score on double 1's.)
Computer program by Bill Butler
Score at
Start of <--- Intended Number of turns to reach 100 or higher --->
Turn 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
-------------------------------------------------------------------------------
99 69.4 88.8 94.2 95.7 96.2 96.4 96.6 96.8 97.0 97.2 97.4 97.7 97.9 98.1 98.3
98 69.4 88.8 94.2 95.7 96.2 96.4 96.6 96.8 97.0 97.2 97.4 97.7 97.9 98.1 98.3
97 69.4 88.8 94.2 95.7 96.2 96.4 96.6 96.8 97.0 97.2 97.4 97.7 97.9 98.1 98.3
96 69.4 88.8 94.2 95.7 96.2 96.4 96.6 96.8 97.0 97.2 97.4 97.7 97.9 98.1 98.3
95 68.6 88.2 93.8 95.5 96.0 96.3 96.4 96.6 96.9 97.1 97.3 97.6 97.8 98.1 98.3
94 66.9 87.1 93.2 95.0 95.7 96.0 96.2 96.4 96.6 96.9 97.1 97.4 97.7 97.9 98.1
93 64.4 85.2 92.0 94.3 95.1 95.5 95.7 96.0 96.2 96.5 96.8 97.1 97.4 97.7 97.9
92 61.0 82.6 90.3 93.1 94.3 94.8 95.1 95.4 95.7 96.0 96.3 96.7 97.0 97.3 97.6
91 56.7 79.0 87.9 91.5 93.2 94.0 94.4 94.7 95.1 95.4 95.8 96.2 96.5 96.9 97.2
90 53.2 75.9 85.6 90.2 92.3 93.3 93.8 94.2 94.5 94.9 95.3 95.7 96.1 96.5 96.9
89 50.4 73.2 83.5 89.0 91.6 92.7 93.3 93.7 94.1 94.5 94.9 95.4 95.8 96.3 96.7
88 48.2 71.0 81.7 88.0 91.0 92.2 92.9 93.3 93.7 94.2 94.6 95.1 95.6 96.0 96.4
87 46.6 69.2 80.3 87.1 90.3 91.8 92.5 93.0 93.4 93.9 94.4 94.8 95.3 95.8 96.3
86 45.3 67.9 79.3 86.3 89.8 91.3 92.1 92.7 93.1 93.6 94.1 94.6 95.1 95.6 96.1
85 43.7 66.1 77.9 85.3 89.0 90.8 91.7 92.3 92.8 93.3 93.8 94.3 94.8 95.4 95.9
84 41.8 64.0 76.2 84.0 88.0 90.0 91.1 91.8 92.3 92.9 93.4 94.0 94.5 95.1 95.6
83 39.7 61.5 74.3 82.4 86.9 89.2 90.5 91.2 91.8 92.4 93.0 93.6 94.2 94.7 95.3
82 37.7 59.1 72.3 80.9 85.7 88.3 89.8 90.7 91.3 91.9 92.5 93.2 93.8 94.4 95.0
81 35.8 56.7 70.3 79.3 84.5 87.5 89.1 90.2 90.9 91.5 92.1 92.8 93.4 94.1 94.7
80 34.1 54.6 68.5 77.9 83.4 86.6 88.5 89.6 90.4 91.1 91.8 92.4 93.1 93.8 94.4
79 32.7 52.7 66.9 76.5 82.3 85.9 87.9 89.2 90.0 90.7 91.4 92.1 92.8 93.5 94.2
78 31.4 51.0 65.3 75.2 81.3 85.1 87.3 88.7 89.6 90.3 91.1 91.8 92.5 93.2 93.9
77 30.1 49.3 63.7 73.8 80.2 84.3 86.7 88.1 89.1 89.9 90.7 91.4 92.2 92.9 93.7
76 28.9 47.6 62.0 72.4 79.1 83.4 86.0 87.6 88.7 89.5 90.3 91.1 91.9 92.6 93.4
75 27.6 45.8 60.2 70.8 77.8 82.4 85.2 87.0 88.2 89.1 89.9 90.7 91.5 92.3 93.1
74 26.3 44.0 58.4 69.1 76.5 81.4 84.4 86.3 87.6 88.6 89.5 90.3 91.2 92.0 92.8
73 25.1 42.2 56.5 67.5 75.2 80.3 83.6 85.7 87.1 88.2 89.1 90.0 90.8 91.7 92.5
72 23.9 40.6 54.8 65.8 73.8 79.2 82.7 85.0 86.6 87.7 88.7 89.6 90.5 91.3 92.2
71 22.9 39.0 53.0 64.2 72.5 78.2 81.9 84.4 86.0 87.2 88.3 89.2 90.1 91.0 91.9
70 21.9 37.5 51.4 62.7 71.2 77.2 81.1 83.7 85.5 86.8 87.8 88.8 89.8 90.7 91.6
69 20.9 36.1 49.9 61.2 70.0 76.1 80.2 83.0 84.9 86.3 87.4 88.5 89.4 90.4 91.3
68 20.0 34.7 48.3 59.7 68.6 75.0 79.4 82.3 84.4 85.8 87.0 88.1 89.1 90.1 91.0
67 19.2 33.3 46.7 58.2 67.3 73.9 78.5 81.6 83.8 85.3 86.6 87.7 88.7 89.8 90.8
66 18.3 32.0 45.2 56.6 65.9 72.8 77.5 80.8 83.1 84.8 86.1 87.3 88.4 89.4 90.4
65 17.5 30.7 43.7 55.1 64.6 71.6 76.6 80.1 82.5 84.3 85.7 86.9 88.0 89.1 90.1
64 16.7 29.5 42.2 53.6 63.2 70.4 75.6 79.3 81.9 83.7 85.2 86.5 87.6 88.8 89.8
63 16.0 28.3 40.7 52.1 61.8 69.2 74.6 78.5 81.2 83.2 84.8 86.1 87.3 88.4 89.5
62 15.3 27.1 39.4 50.7 60.5 68.0 73.7 77.7 80.5 82.6 84.3 85.7 86.9 88.1 89.2
61 14.6 26.0 38.0 49.3 59.1 66.9 72.7 76.8 79.9 82.1 83.8 85.2 86.5 87.8 88.9
60 14.0 25.0 36.7 47.9 57.8 65.7 71.7 76.0 79.2 81.5 83.3 84.8 86.2 87.4 88.6
59 13.4 24.0 35.4 46.5 56.5 64.5 70.6 75.2 78.5 80.9 82.8 84.4 85.8 87.1 88.3
58 12.8 23.0 34.2 45.2 55.1 63.3 69.6 74.3 77.8 80.3 82.3 84.0 85.4 86.7 88.0
57 12.2 22.0 33.0 43.8 53.8 62.0 68.5 73.4 77.0 79.7 81.8 83.5 85.0 86.4 87.7
56 11.7 21.1 31.8 42.5 52.5 60.8 67.5 72.5 76.3 79.1 81.3 83.1 84.6 86.0 87.3
55 11.1 20.2 30.6 41.3 51.1 59.6 66.4 71.6 75.5 78.5 80.8 82.6 84.2 85.7 87.0
54 10.7 19.4 29.5 40.0 49.9 58.4 65.3 70.7 74.7 77.8 80.2 82.2 83.8 85.3 86.7
53 10.2 18.6 28.4 38.8 48.6 57.1 64.2 69.7 74.0 77.2 79.7 81.7 83.4 84.9 86.4
52 9.7 17.8 27.4 37.6 47.3 55.9 63.1 68.8 73.2 76.5 79.1 81.2 83.0 84.6 86.0
51 9.3 17.1 26.4 36.4 46.1 54.7 62.0 67.9 72.4 75.8 78.6 80.7 82.6 84.2 85.7
50 8.9 16.4 25.4 35.2 44.8 53.5 60.9 66.9 71.6 75.2 78.0 80.3 82.2 83.8 85.4
49 8.5 15.7 24.5 34.1 43.6 52.3 59.8 65.9 70.7 74.5 77.4 79.8 81.7 83.5 85.0
48 8.1 15.0 23.5 33.0 42.4 51.1 58.7 65.0 69.9 73.8 76.8 79.3 81.3 83.1 84.7
47 7.8 14.4 22.7 31.9 41.2 50.0 57.6 64.0 69.1 73.1 76.2 78.7 80.9 82.7 84.3
46 7.4 13.8 21.8 30.9 40.1 48.8 56.5 63.0 68.2 72.3 75.6 78.2 80.4 82.3 84.0
45 7.1 13.2 21.0 29.8 38.9 47.6 55.4 62.0 67.3 71.6 75.0 77.7 80.0 81.9 83.7
44 6.8 12.6 20.2 28.8 37.8 46.5 54.3 61.0 66.5 70.9 74.3 77.2 79.5 81.5 83.3
43 6.5 12.1 19.4 27.9 36.7 45.4 53.2 60.0 65.6 70.1 73.7 76.6 79.0 81.1 82.9
42 6.2 11.6 18.7 26.9 35.7 44.3 52.1 59.0 64.7 69.3 73.1 76.1 78.6 80.7 82.6
41 5.9 11.1 17.9 26.0 34.6 43.2 51.1 58.0 63.8 68.6 72.4 75.5 78.1 80.3 82.2
40 5.7 10.6 17.2 25.1 33.6 42.1 50.0 57.0 62.9 67.8 71.7 75.0 77.6 79.9 81.9
39 5.4 10.2 16.6 24.3 32.6 41.0 48.9 56.0 62.0 67.0 71.1 74.4 77.1 79.5 81.5
38 5.2 9.7 15.9 23.4 31.6 40.0 47.9 55.0 61.1 66.2 70.4 73.8 76.6 79.0 81.1
37 5.0 9.3 15.3 22.6 30.7 38.9 46.8 54.0 60.2 65.4 69.7 73.2 76.1 78.6 80.7
36 4.7 8.9 14.7 21.8 29.7 37.9 45.8 53.0 59.3 64.6 69.0 72.6 75.6 78.2 80.4
35 4.5 8.5 14.1 21.1 28.8 36.9 44.8 52.0 58.4 63.8 68.3 72.0 75.1 77.7 80.0
34 4.3 8.2 13.6 20.3 27.9 35.9 43.8 51.0 57.5 63.0 67.6 71.4 74.6 77.3 79.6
33 4.1 7.8 13.0 19.6 27.1 35.0 42.8 50.1 56.6 62.2 66.9 70.8 74.1 76.8 79.2
32 4.0 7.5 12.5 18.9 26.2 34.0 41.8 49.1 55.6 61.3 66.2 70.2 73.5 76.3 78.8
31 3.8 7.2 12.0 18.2 25.4 33.1 40.8 48.1 54.7 60.5 65.4 69.5 73.0 75.9 78.4
30 3.6 6.9 11.6 17.6 24.6 32.2 39.8 47.2 53.8 59.7 64.7 68.9 72.4 75.4 78.0
29 3.5 6.6 11.1 16.9 23.8 31.3 38.9 46.2 52.9 58.8 63.9 68.3 71.9 74.9 77.6
28 3.3 6.3 10.7 16.3 23.0 30.4 38.0 45.3 52.0 58.0 63.2 67.6 71.3 74.5 77.1
27 3.2 6.0 10.2 15.7 22.3 29.6 37.0 44.3 51.1 57.2 62.5 67.0 70.7 74.0 76.7
26 3.0 5.8 9.8 15.2 21.6 28.7 36.1 43.4 50.2 56.3 61.7 66.3 70.2 73.5 76.3
25 2.9 5.5 9.4 14.6 20.9 27.9 35.2 42.5 49.3 55.5 60.9 65.6 69.6 73.0 75.9
24 2.8 5.3 9.1 14.1 20.2 27.1 34.4 41.6 48.4 54.7 60.2 65.0 69.0 72.5 75.4
23 2.6 5.1 8.7 13.6 19.5 26.3 33.5 40.7 47.5 53.8 59.4 64.3 68.4 72.0 75.0
22 2.5 4.8 8.3 13.1 18.9 25.6 32.6 39.8 46.7 53.0 58.7 63.6 67.8 71.4 74.5
21 2.4 4.6 8.0 12.6 18.3 24.8 31.8 38.9 45.8 52.2 57.9 62.9 67.2 70.9 74.1
20 2.3 4.4 7.7 12.1 17.7 24.1 31.0 38.1 44.9 51.4 57.1 62.2 66.6 70.4 73.6
19 2.2 4.2 7.4 11.7 17.1 23.4 30.2 37.2 44.1 50.5 56.4 61.5 66.0 69.9 73.2
18 2.1 4.1 7.1 11.3 16.5 22.7 29.4 36.4 43.2 49.7 55.6 60.8 65.4 69.3 72.7
17 2.0 3.9 6.8 10.8 16.0 22.0 28.6 35.6 42.4 48.9 54.8 60.1 64.8 68.8 72.2
16 1.9 3.7 6.5 10.4 15.4 21.3 27.9 34.7 41.6 48.1 54.1 59.4 64.2 68.2 71.7
15 1.8 3.6 6.3 10.1 14.9 20.7 27.2 33.9 40.7 47.3 53.3 58.7 63.5 67.7 71.3
14 1.8 3.4 6.0 9.7 14.4 20.1 26.4 33.2 39.9 46.5 52.6 58.0 62.9 67.1 70.8
13 1.7 3.3 5.8 9.3 13.9 19.5 25.7 32.4 39.1 45.7 51.8 57.3 62.3 66.6 70.3
12 1.6 3.1 5.5 9.0 13.5 18.9 25.0 31.6 38.3 44.9 51.0 56.6 61.6 66.0 69.8
11 1.5 3.0 5.3 8.7 13.0 18.3 24.4 30.9 37.6 44.1 50.3 55.9 61.0 65.4 69.3
10 1.5 2.9 5.1 8.3 12.6 17.8 23.7 30.2 36.8 43.3 49.5 55.2 60.4 64.9 68.8
9 1.4 2.7 4.9 8.0 12.1 17.2 23.1 29.4 36.0 42.6 48.8 54.5 59.7 64.3 68.3
8 1.3 2.6 4.7 7.7 11.7 16.7 22.4 28.7 35.3 41.8 48.0 53.8 59.1 63.7 67.8
7 1.3 2.5 4.5 7.4 11.3 16.2 21.8 28.0 34.5 41.0 47.3 53.1 58.4 63.1 67.3
6 1.2 2.4 4.3 7.2 11.0 15.7 21.2 27.4 33.8 40.3 46.6 52.4 57.8 62.6 66.8
5 1.2 2.3 4.2 6.9 10.6 15.2 20.6 26.7 33.1 39.6 45.8 51.8 57.1 62.0 66.2
4 1.1 2.2 4.0 6.6 10.2 14.7 20.1 26.0 32.4 38.8 45.1 51.1 56.5 61.4 65.7
3 1.1 2.1 3.8 6.4 9.9 14.3 19.5 25.4 31.7 38.1 44.4 50.4 55.9 60.8 65.2
2 1.0 2.0 3.7 6.2 9.5 13.8 19.0 24.8 31.0 37.4 43.7 49.7 55.2 60.2 64.7
1 1.0 1.9 3.5 5.9 9.2 13.4 18.5 24.2 30.4 36.7 43.0 49.0 54.6 59.6 64.1
0 0.9 1.9 3.4 5.7 8.9 13.0 17.9 23.6 29.7 36.0 42.3 48.3 53.9 59.0 63.6
Score at
Start of <--- Intended Number of turns to reach 100 or higher --->
Turn 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
-------------------------------------------------------------------------------
99 98.5 98.7 98.8 99.0 99.1 99.2 99.3 99.3 99.4 99.5 99.5 99.6 99.6 99.7 99.7
98 98.5 98.7 98.8 99.0 99.1 99.2 99.3 99.3 99.4 99.5 99.5 99.6 99.6 99.7 99.7
97 98.5 98.7 98.8 99.0 99.1 99.2 99.3 99.3 99.4 99.5 99.5 99.6 99.6 99.7 99.7
96 98.5 98.7 98.8 99.0 99.1 99.2 99.3 99.3 99.4 99.5 99.5 99.6 99.6 99.7 99.7
95 98.5 98.6 98.8 98.9 99.0 99.1 99.2 99.3 99.4 99.4 99.5 99.6 99.6 99.6 99.7
94 98.3 98.5 98.7 98.8 99.0 99.1 99.2 99.3 99.3 99.4 99.5 99.5 99.6 99.6 99.7
93 98.1 98.3 98.5 98.7 98.8 99.0 99.1 99.2 99.2 99.3 99.4 99.5 99.5 99.6 99.6
92 97.9 98.1 98.3 98.5 98.7 98.8 98.9 99.0 99.1 99.2 99.3 99.4 99.4 99.5 99.6
91 97.5 97.8 98.0 98.3 98.4 98.6 98.8 98.9 99.0 99.1 99.2 99.3 99.4 99.4 99.5
90 97.2 97.6 97.8 98.1 98.3 98.5 98.6 98.8 98.9 99.0 99.1 99.2 99.3 99.4 99.4
89 97.0 97.3 97.6 97.9 98.1 98.3 98.5 98.7 98.8 98.9 99.0 99.1 99.2 99.3 99.4
88 96.8 97.2 97.5 97.8 98.0 98.2 98.4 98.6 98.7 98.9 99.0 99.1 99.2 99.3 99.3
87 96.7 97.0 97.4 97.6 97.9 98.1 98.3 98.5 98.7 98.8 98.9 99.0 99.1 99.2 99.3
86 96.5 96.9 97.2 97.5 97.8 98.0 98.2 98.4 98.6 98.7 98.9 99.0 99.1 99.2 99.3
85 96.3 96.7 97.1 97.4 97.7 97.9 98.1 98.3 98.5 98.7 98.8 98.9 99.0 99.1 99.2
84 96.1 96.5 96.9 97.2 97.5 97.8 98.0 98.2 98.4 98.6 98.7 98.9 99.0 99.1 99.2
83 95.8 96.2 96.7 97.0 97.3 97.6 97.9 98.1 98.3 98.5 98.6 98.8 98.9 99.0 99.1
82 95.5 96.0 96.4 96.8 97.2 97.5 97.7 98.0 98.2 98.4 98.5 98.7 98.8 99.0 99.1
81 95.2 95.8 96.2 96.6 97.0 97.3 97.6 97.9 98.1 98.3 98.5 98.6 98.8 98.9 99.0
80 95.0 95.5 96.0 96.5 96.8 97.2 97.5 97.7 98.0 98.2 98.4 98.6 98.7 98.8 99.0
79 94.8 95.3 95.8 96.3 96.7 97.1 97.4 97.6 97.9 98.1 98.3 98.5 98.6 98.8 98.9
78 94.6 95.1 95.7 96.1 96.6 96.9 97.3 97.5 97.8 98.0 98.2 98.4 98.6 98.7 98.9
77 94.3 94.9 95.5 96.0 96.4 96.8 97.1 97.4 97.7 97.9 98.2 98.4 98.5 98.7 98.8
76 94.1 94.7 95.3 95.8 96.3 96.7 97.0 97.3 97.6 97.9 98.1 98.3 98.5 98.6 98.8
75 93.8 94.5 95.1 95.6 96.1 96.5 96.9 97.2 97.5 97.8 98.0 98.2 98.4 98.6 98.7
74 93.5 94.2 94.9 95.4 95.9 96.4 96.7 97.1 97.4 97.7 97.9 98.1 98.3 98.5 98.7
73 93.3 94.0 94.6 95.2 95.7 96.2 96.6 97.0 97.3 97.6 97.8 98.0 98.3 98.4 98.6
72 93.0 93.7 94.4 95.0 95.6 96.0 96.5 96.8 97.2 97.5 97.7 98.0 98.2 98.4 98.5
71 92.7 93.5 94.2 94.8 95.4 95.9 96.3 96.7 97.1 97.4 97.6 97.9 98.1 98.3 98.5
70 92.5 93.3 94.0 94.6 95.2 95.7 96.2 96.6 97.0 97.3 97.6 97.8 98.0 98.2 98.4
69 92.2 93.0 93.8 94.5 95.1 95.6 96.1 96.5 96.8 97.2 97.5 97.7 98.0 98.2 98.4
68 92.0 92.8 93.6 94.3 94.9 95.4 95.9 96.4 96.7 97.1 97.4 97.7 97.9 98.1 98.3
67 91.7 92.6 93.3 94.1 94.7 95.3 95.8 96.2 96.6 97.0 97.3 97.6 97.8 98.1 98.3
66 91.4 92.3 93.1 93.9 94.5 95.1 95.6 96.1 96.5 96.9 97.2 97.5 97.8 98.0 98.2
65 91.1 92.1 92.9 93.7 94.3 95.0 95.5 96.0 96.4 96.8 97.1 97.4 97.7 97.9 98.1
64 90.9 91.8 92.7 93.5 94.2 94.8 95.3 95.8 96.3 96.7 97.0 97.3 97.6 97.9 98.1
63 90.6 91.5 92.4 93.3 94.0 94.6 95.2 95.7 96.2 96.6 96.9 97.2 97.5 97.8 98.0
62 90.3 91.3 92.2 93.0 93.8 94.5 95.1 95.6 96.0 96.5 96.8 97.2 97.5 97.7 98.0
61 90.0 91.0 92.0 92.8 93.6 94.3 94.9 95.4 95.9 96.4 96.7 97.1 97.4 97.7 97.9
60 89.7 90.8 91.7 92.6 93.4 94.1 94.8 95.3 95.8 96.2 96.6 97.0 97.3 97.6 97.8
59 89.4 90.5 91.5 92.4 93.2 94.0 94.6 95.2 95.7 96.1 96.5 96.9 97.2 97.5 97.8
58 89.2 90.3 91.3 92.2 93.0 93.8 94.4 95.0 95.6 96.0 96.4 96.8 97.2 97.5 97.7
57 88.9 90.0 91.0 92.0 92.8 93.6 94.3 94.9 95.4 95.9 96.4 96.7 97.1 97.4 97.7
56 88.6 89.7 90.8 91.8 92.7 93.4 94.1 94.8 95.3 95.8 96.3 96.6 97.0 97.3 97.6
55 88.3 89.5 90.6 91.6 92.5 93.3 94.0 94.6 95.2 95.7 96.2 96.6 96.9 97.2 97.5
54 88.0 89.2 90.3 91.3 92.3 93.1 93.8 94.5 95.1 95.6 96.1 96.5 96.8 97.2 97.5
53 87.7 88.9 90.1 91.1 92.1 92.9 93.7 94.3 94.9 95.5 95.9 96.4 96.8 97.1 97.4
52 87.4 88.7 89.8 90.9 91.9 92.7 93.5 94.2 94.8 95.4 95.8 96.3 96.7 97.0 97.3
51 87.1 88.4 89.6 90.7 91.7 92.6 93.3 94.1 94.7 95.2 95.7 96.2 96.6 96.9 97.3
50 86.8 88.1 89.3 90.5 91.5 92.4 93.2 93.9 94.6 95.1 95.6 96.1 96.5 96.9 97.2
49 86.5 87.8 89.1 90.2 91.3 92.2 93.0 93.8 94.4 95.0 95.5 96.0 96.4 96.8 97.1
48 86.2 87.6 88.8 90.0 91.1 92.0 92.9 93.6 94.3 94.9 95.4 95.9 96.3 96.7 97.1
47 85.9 87.3 88.6 89.8 90.8 91.8 92.7 93.5 94.2 94.8 95.3 95.8 96.3 96.6 97.0
46 85.6 87.0 88.3 89.5 90.6 91.6 92.5 93.3 94.0 94.7 95.2 95.7 96.2 96.6 96.9
45 85.2 86.7 88.1 89.3 90.4 91.4 92.4 93.2 93.9 94.5 95.1 95.6 96.1 96.5 96.9
44 84.9 86.4 87.8 89.1 90.2 91.3 92.2 93.0 93.8 94.4 95.0 95.5 96.0 96.4 96.8
43 84.6 86.1 87.6 88.8 90.0 91.1 92.0 92.9 93.6 94.3 94.9 95.4 95.9 96.3 96.7
42 84.3 85.9 87.3 88.6 89.8 90.9 91.8 92.7 93.5 94.2 94.8 95.3 95.8 96.3 96.7
41 84.0 85.6 87.0 88.4 89.6 90.7 91.7 92.5 93.3 94.0 94.7 95.2 95.7 96.2 96.6
40 83.6 85.3 86.8 88.1 89.4 90.5 91.5 92.4 93.2 93.9 94.6 95.1 95.6 96.1 96.5
39 83.3 85.0 86.5 87.9 89.1 90.3 91.3 92.2 93.1 93.8 94.4 95.0 95.6 96.0 96.4
38 83.0 84.7 86.2 87.6 88.9 90.1 91.1 92.1 92.9 93.7 94.3 94.9 95.5 95.9 96.4
37 82.6 84.4 86.0 87.4 88.7 89.9 91.0 91.9 92.8 93.5 94.2 94.8 95.4 95.9 96.3
36 82.3 84.1 85.7 87.2 88.5 89.7 90.8 91.8 92.6 93.4 94.1 94.7 95.3 95.8 96.2
35 82.0 83.8 85.4 86.9 88.3 89.5 90.6 91.6 92.5 93.3 94.0 94.6 95.2 95.7 96.1
34 81.6 83.5 85.1 86.7 88.0 89.3 90.4 91.4 92.3 93.1 93.9 94.5 95.1 95.6 96.1
33 81.3 83.2 84.9 86.4 87.8 89.1 90.2 91.3 92.2 93.0 93.7 94.4 95.0 95.5 96.0
32 80.9 82.8 84.6 86.2 87.6 88.9 90.0 91.1 92.0 92.9 93.6 94.3 94.9 95.4 95.9
31 80.6 82.5 84.3 85.9 87.4 88.7 89.9 90.9 91.9 92.7 93.5 94.2 94.8 95.4 95.8
30 80.2 82.2 84.0 85.6 87.1 88.5 89.7 90.8 91.7 92.6 93.4 94.1 94.7 95.3 95.8
29 79.8 81.9 83.7 85.4 86.9 88.3 89.5 90.6 91.6 92.5 93.3 94.0 94.6 95.2 95.7
28 79.5 81.6 83.4 85.1 86.7 88.0 89.3 90.4 91.4 92.3 93.1 93.9 94.5 95.1 95.6
27 79.1 81.2 83.1 84.9 86.4 87.8 89.1 90.3 91.3 92.2 93.0 93.8 94.4 95.0 95.5
26 78.7 80.9 82.8 84.6 86.2 87.6 88.9 90.1 91.1 92.1 92.9 93.6 94.3 94.9 95.4
25 78.4 80.6 82.6 84.3 85.9 87.4 88.7 89.9 91.0 91.9 92.8 93.5 94.2 94.8 95.4
24 78.0 80.2 82.3 84.1 85.7 87.2 88.5 89.7 90.8 91.8 92.6 93.4 94.1 94.7 95.3
23 77.6 79.9 82.0 83.8 85.5 87.0 88.3 89.6 90.7 91.6 92.5 93.3 94.0 94.6 95.2
22 77.2 79.6 81.7 83.5 85.2 86.8 88.1 89.4 90.5 91.5 92.4 93.2 93.9 94.5 95.1
21 76.8 79.2 81.3 83.3 85.0 86.5 87.9 89.2 90.3 91.4 92.3 93.1 93.8 94.5 95.0
20 76.4 78.9 81.0 83.0 84.7 86.3 87.7 89.0 90.2 91.2 92.1 93.0 93.7 94.4 95.0
19 76.0 78.5 80.7 82.7 84.5 86.1 87.5 88.8 90.0 91.1 92.0 92.8 93.6 94.3 94.9
18 75.6 78.2 80.4 82.4 84.2 85.9 87.3 88.7 89.8 90.9 91.9 92.7 93.5 94.2 94.8
17 75.2 77.8 80.1 82.1 84.0 85.6 87.1 88.5 89.7 90.8 91.7 92.6 93.4 94.1 94.7
16 74.8 77.4 79.8 81.9 83.7 85.4 86.9 88.3 89.5 90.6 91.6 92.5 93.3 94.0 94.6
15 74.4 77.1 79.5 81.6 83.5 85.2 86.7 88.1 89.4 90.5 91.5 92.4 93.2 93.9 94.5
14 73.9 76.7 79.1 81.3 83.2 85.0 86.5 87.9 89.2 90.3 91.3 92.2 93.1 93.8 94.4
13 73.5 76.3 78.8 81.0 83.0 84.7 86.3 87.7 89.0 90.2 91.2 92.1 93.0 93.7 94.4
12 73.1 75.9 78.5 80.7 82.7 84.5 86.1 87.5 88.8 90.0 91.1 92.0 92.8 93.6 94.3
11 72.7 75.6 78.1 80.4 82.4 84.3 85.9 87.4 88.7 89.9 90.9 91.9 92.7 93.5 94.2
10 72.2 75.2 77.8 80.1 82.2 84.0 85.7 87.2 88.5 89.7 90.8 91.8 92.6 93.4 94.1
9 71.8 74.8 77.5 79.8 81.9 83.8 85.5 87.0 88.3 89.6 90.7 91.6 92.5 93.3 94.0
8 71.3 74.4 77.1 79.5 81.6 83.5 85.2 86.8 88.2 89.4 90.5 91.5 92.4 93.2 93.9
7 70.9 74.0 76.8 79.2 81.4 83.3 85.0 86.6 88.0 89.2 90.4 91.4 92.3 93.1 93.8
6 70.4 73.6 76.4 78.9 81.1 83.0 84.8 86.4 87.8 89.1 90.2 91.3 92.2 93.0 93.7
5 70.0 73.2 76.1 78.6 80.8 82.8 84.6 86.2 87.6 88.9 90.1 91.1 92.1 92.9 93.6
4 69.5 72.8 75.7 78.3 80.5 82.6 84.4 86.0 87.5 88.8 89.9 91.0 91.9 92.8 93.6
3 69.0 72.4 75.4 77.9 80.3 82.3 84.1 85.8 87.3 88.6 89.8 90.9 91.8 92.7 93.5
2 68.6 72.0 75.0 77.6 80.0 82.1 83.9 85.6 87.1 88.4 89.7 90.7 91.7 92.6 93.4
1 68.1 71.6 74.6 77.3 79.7 81.8 83.7 85.4 86.9 88.3 89.5 90.6 91.6 92.5 93.3
0 67.6 71.2 74.3 77.0 79.4 81.5 83.5 85.2 86.7 88.1 89.4 90.5 91.5 92.4 93.2
Optimal Strategy for the Dice Game of Pig
If you want to reach 100 (or more) in the number
of turns shown by the column headers, then match
your "Start of Turn" score with the leftmost
column and use these indexes to find the optimal
"Stop Number" in the table. You should voluntarily
stop rolling the dice when your cumulative dice sum
reaches or exceeds this "Stop Number."
(Lose turn total on single "1". Lose total score on double 1's.)
Computer program by Bill Butler
Score at
Start of <--- Intended Number of turns to reach 100 or higher --->
Turn 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
-------------------------------------------------------------------------------
99 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
98 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
97 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
96 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
95 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
94 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
93 7 7 7 7 7 4 4 4 4 7 7 7 7 7 7
92 8 8 8 8 4 4 4 4 4 4 4 4 4 4 4
91 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4
90 10 10 10 4 4 4 4 4 4 4 4 4 4 4 4
89 11 11 11 4 4 4 4 4 4 4 4 4 4 4 4
88 12 12 12 5 4 4 4 4 4 4 4 4 4 4 4
87 13 13 9 5 5 4 4 4 4 4 4 4 5 5 5
86 14 14 9 6 6 5 4 4 4 4 5 5 5 5 5
85 15 15 9 7 6 6 5 4 4 5 5 5 6 6 6
84 16 16 10 8 7 6 5 4 4 5 5 6 6 6 6
83 17 17 10 8 8 6 5 4 4 5 5 6 6 6 6
82 18 18 11 9 8 6 4 4 4 4 5 5 6 6 6
81 19 19 11 10 8 6 5 4 4 4 5 5 5 6 6
80 20 20 12 10 9 6 5 4 4 4 5 5 6 6 6
79 21 21 13 11 9 6 5 5 5 5 5 5 6 6 6
78 22 22 13 12 9 7 6 5 5 5 5 6 6 6 6
77 23 23 14 13 9 7 6 6 5 5 6 6 6 7 7
76 24 24 15 13 10 8 7 6 6 6 6 6 7 7 7
75 25 25 16 14 10 8 7 6 6 6 6 7 7 7 7
74 26 26 16 14 10 9 7 6 6 6 6 7 7 8 8
73 27 27 17 15 11 9 8 7 6 6 6 7 7 8 8
72 28 28 18 15 11 9 8 7 6 6 6 7 7 8 8
71 29 29 19 15 11 10 8 7 6 6 6 7 7 8 8
70 30 30 19 15 12 10 9 7 6 6 7 7 8 8 8
69 31 31 20 15 12 11 9 7 7 7 7 7 8 8 8
68 32 32 21 16 13 11 9 8 7 7 7 7 8 8 9
67 33 33 21 16 13 11 9 8 7 7 7 8 8 8 9
66 34 34 22 17 13 11 10 8 8 7 7 8 8 9 9
65 35 35 22 17 14 12 10 9 8 8 8 8 8 9 9
64 36 36 22 17 14 12 10 9 8 8 8 8 9 9 9
63 37 37 23 17 14 12 11 9 9 8 8 8 9 9 9
62 38 38 23 18 14 12 11 10 9 8 8 8 9 9 10
61 39 39 24 18 15 13 11 10 9 8 8 8 9 9 10
60 40 40 24 18 15 13 12 10 9 9 8 8 9 9 10
59 41 41 25 19 16 14 12 11 9 9 8 9 9 10 10
58 42 42 25 19 16 14 12 11 10 9 9 9 9 10 10
57 43 43 26 19 17 14 12 11 10 9 9 9 9 10 10
56 44 44 26 20 17 14 13 11 10 9 9 9 9 10 10
55 45 45 27 20 17 15 13 11 10 10 9 9 10 10 10
54 46 46 28 21 18 15 13 12 11 10 10 9 10 10 11
53 47 47 28 21 18 15 13 12 11 10 10 10 10 10 11
52 48 48 29 22 19 16 14 12 11 10 10 10 10 10 11
51 49 49 29 22 19 16 14 12 11 11 10 10 10 11 11
50 50 50 30 23 19 16 14 13 12 11 10 10 10 11 11
49 51 51 31 23 20 16 14 13 12 11 10 10 10 11 11
48 52 52 31 24 20 17 15 13 12 11 11 10 11 11 11
47 53 53 32 24 20 17 15 13 12 11 11 11 11 11 11
46 54 54 32 25 21 17 15 14 12 12 11 11 11 11 11
45 55 55 32 25 21 18 15 14 13 12 11 11 11 11 12
44 56 56 33 26 21 18 16 14 13 12 11 11 11 11 12
43 57 57 33 26 22 18 16 14 13 12 12 11 11 11 12
42 58 58 34 26 22 19 16 15 13 12 12 11 11 12 12
41 59 59 34 27 22 19 17 15 14 13 12 12 11 12 12
40 60 60 35 27 23 19 17 15 14 13 12 12 12 12 12
39 61 61 35 28 23 19 17 15 14 13 12 12 12 12 12
38 62 62 36 28 23 20 17 16 14 13 12 12 12 12 12
37 63 63 37 28 23 20 18 16 14 13 13 12 12 12 12
36 64 64 37 29 24 20 18 16 15 14 13 12 12 12 13
35 65 65 38 29 24 21 18 16 15 14 13 13 12 12 13
34 66 66 38 30 24 21 19 17 15 14 13 13 13 13 13
33 67 67 39 30 25 21 19 17 15 14 13 13 13 13 13
32 68 68 39 30 25 22 19 17 16 14 14 13 13 13 13
31 69 69 40 31 25 22 19 17 16 15 14 13 13 13 13
30 70 70 40 31 26 22 20 18 16 15 14 13 13 13 13
29 71 71 41 32 26 22 20 18 16 15 14 14 13 13 13
28 72 72 41 32 26 23 20 18 16 15 14 14 13 13 13
27 73 73 42 32 27 23 20 18 17 15 15 14 14 13 13
26 74 74 42 33 27 23 21 19 17 16 15 14 14 14 14
25 75 75 43 33 27 24 21 19 17 16 15 14 14 14 14
24 76 76 43 34 28 24 21 19 17 16 15 14 14 14 14
23 77 77 44 34 28 24 22 19 18 16 15 15 14 14 14
22 78 78 44 34 28 25 22 20 18 17 16 15 14 14 14
21 79 79 45 35 29 25 22 20 18 17 16 15 15 14 14
20 80 80 45 35 29 25 22 20 18 17 16 15 15 14 14
19 81 81 46 36 29 26 23 20 19 17 16 15 15 15 14
18 82 82 47 36 30 26 23 21 19 17 16 16 15 15 15
17 83 83 47 36 30 26 23 21 19 18 17 16 15 15 15
16 84 84 48 37 31 27 23 21 19 18 17 16 15 15 15
15 85 85 48 37 31 27 24 21 20 18 17 16 16 15 15
14 86 86 49 38 31 27 24 22 20 18 17 16 16 15 15
13 87 87 49 38 32 28 24 22 20 19 17 17 16 15 15
12 88 88 50 39 32 28 25 22 20 19 18 17 16 16 15
11 89 89 50 39 32 28 25 22 21 19 18 17 16 16 15
10 90 90 51 39 33 28 25 23 21 19 18 17 16 16 16
9 91 91 51 40 33 29 25 23 21 20 18 17 17 16 16
8 92 92 52 40 34 29 26 23 21 20 19 18 17 16 16
7 93 93 52 41 34 29 26 23 22 20 19 18 17 16 16
6 94 94 53 41 34 30 26 24 22 20 19 18 17 17 16
5 95 95 53 42 35 30 26 24 22 20 19 18 17 17 16
4 96 96 54 42 35 30 27 24 22 21 19 18 18 17 17
3 97 97 55 42 35 31 27 25 22 21 20 19 18 17 17
2 98 98 55 43 36 31 27 25 23 21 20 19 18 17 17
1 99 99 56 43 36 31 28 25 23 21 20 19 18 17 17
0 100 100 56 44 36 32 28 25 23 22 20 19 18 18 17
Score at
Start of <--- Intended Number of turns to reach 100 or higher --->
Turn 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
-------------------------------------------------------------------------------
99 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
98 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
97 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
96 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
95 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
94 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
93 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
92 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
91 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
90 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
89 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
88 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
87 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
86 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
85 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
84 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
83 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
82 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
81 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
80 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
79 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
78 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6
77 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
76 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
75 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7
74 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
73 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
72 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
71 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
70 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
69 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8
68 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9
67 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
66 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
65 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
64 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9
63 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10
62 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10
61 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10
60 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10
59 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10
58 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10
57 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10
56 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11
55 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11
54 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11
53 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11
52 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11
51 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11
50 11 12 12 12 12 12 12 12 12 12 11 11 11 12 12
49 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12
48 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12
47 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12
46 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12
45 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12
44 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12
43 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12
42 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13
41 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13
40 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13
39 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13
38 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13
37 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13
36 13 13 13 13 14 14 13 13 13 13 13 13 13 13 13
35 13 13 13 14 14 14 14 14 13 13 13 13 13 13 13
34 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14
33 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14
32 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14
31 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14
30 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14
29 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14
28 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14
27 14 14 14 14 15 15 15 15 14 14 14 14 14 14 14
26 14 14 14 15 15 15 15 15 15 15 15 14 14 14 14
25 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15
24 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15
23 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15
22 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15
21 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15
20 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15
19 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
18 15 15 15 15 15 15 16 15 15 15 15 15 15 15 15
17 15 15 15 15 15 16 16 16 16 16 16 15 15 15 15
16 15 15 15 15 16 16 16 16 16 16 16 16 16 16 16
15 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16
14 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16
13 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16
12 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16
11 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16
10 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16
9 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16
8 16 16 16 16 16 16 16 17 17 17 16 16 16 16 16
7 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17
6 16 16 16 16 16 17 17 17 17 17 17 17 17 17 17
5 16 16 16 16 17 17 17 17 17 17 17 17 17 17 17
4 16 16 16 16 17 17 17 17 17 17 17 17 17 17 17
3 16 16 16 17 17 17 17 17 17 17 17 17 17 17 17
2 17 16 17 17 17 17 17 17 17 17 17 17 17 17 17
1 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17
0 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17
Return to the Pig Main Page
Web page generated via Sea Monkey's Composer HTML editor
within a Linux Cinnamon Mint 18 operating system.
(Goodbye Microsoft)
This table shows the probability (in percent) of reaching 100
or more in "N" turns if using Optimal Strategy (See below).
(All values for a Start-of-Turn score of 100 or higher = 100.0.)
(Lose turn total on single "1". Lose total score on double 1's.)
Computer program by Bill Butler
Score at
Start of <--- Intended Number of turns to reach 100 or higher --->
Turn 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
-------------------------------------------------------------------------------
99 69.4 88.8 94.2 95.7 96.2 96.4 96.6 96.8 97.0 97.2 97.4 97.7 97.9 98.1 98.3
98 69.4 88.8 94.2 95.7 96.2 96.4 96.6 96.8 97.0 97.2 97.4 97.7 97.9 98.1 98.3
97 69.4 88.8 94.2 95.7 96.2 96.4 96.6 96.8 97.0 97.2 97.4 97.7 97.9 98.1 98.3
96 69.4 88.8 94.2 95.7 96.2 96.4 96.6 96.8 97.0 97.2 97.4 97.7 97.9 98.1 98.3
95 68.6 88.2 93.8 95.5 96.0 96.3 96.4 96.6 96.9 97.1 97.3 97.6 97.8 98.1 98.3
94 66.9 87.1 93.2 95.0 95.7 96.0 96.2 96.4 96.6 96.9 97.1 97.4 97.7 97.9 98.1
93 64.4 85.2 92.0 94.3 95.1 95.5 95.7 96.0 96.2 96.5 96.8 97.1 97.4 97.7 97.9
92 61.0 82.6 90.3 93.1 94.3 94.8 95.1 95.4 95.7 96.0 96.3 96.7 97.0 97.3 97.6
91 56.7 79.0 87.9 91.5 93.2 94.0 94.4 94.7 95.1 95.4 95.8 96.2 96.5 96.9 97.2
90 53.2 75.9 85.6 90.2 92.3 93.3 93.8 94.2 94.5 94.9 95.3 95.7 96.1 96.5 96.9
89 50.4 73.2 83.5 89.0 91.6 92.7 93.3 93.7 94.1 94.5 94.9 95.4 95.8 96.3 96.7
88 48.2 71.0 81.7 88.0 91.0 92.2 92.9 93.3 93.7 94.2 94.6 95.1 95.6 96.0 96.4
87 46.6 69.2 80.3 87.1 90.3 91.8 92.5 93.0 93.4 93.9 94.4 94.8 95.3 95.8 96.3
86 45.3 67.9 79.3 86.3 89.8 91.3 92.1 92.7 93.1 93.6 94.1 94.6 95.1 95.6 96.1
85 43.7 66.1 77.9 85.3 89.0 90.8 91.7 92.3 92.8 93.3 93.8 94.3 94.8 95.4 95.9
84 41.8 64.0 76.2 84.0 88.0 90.0 91.1 91.8 92.3 92.9 93.4 94.0 94.5 95.1 95.6
83 39.7 61.5 74.3 82.4 86.9 89.2 90.5 91.2 91.8 92.4 93.0 93.6 94.2 94.7 95.3
82 37.7 59.1 72.3 80.9 85.7 88.3 89.8 90.7 91.3 91.9 92.5 93.2 93.8 94.4 95.0
81 35.8 56.7 70.3 79.3 84.5 87.5 89.1 90.2 90.9 91.5 92.1 92.8 93.4 94.1 94.7
80 34.1 54.6 68.5 77.9 83.4 86.6 88.5 89.6 90.4 91.1 91.8 92.4 93.1 93.8 94.4
79 32.7 52.7 66.9 76.5 82.3 85.9 87.9 89.2 90.0 90.7 91.4 92.1 92.8 93.5 94.2
78 31.4 51.0 65.3 75.2 81.3 85.1 87.3 88.7 89.6 90.3 91.1 91.8 92.5 93.2 93.9
77 30.1 49.3 63.7 73.8 80.2 84.3 86.7 88.1 89.1 89.9 90.7 91.4 92.2 92.9 93.7
76 28.9 47.6 62.0 72.4 79.1 83.4 86.0 87.6 88.7 89.5 90.3 91.1 91.9 92.6 93.4
75 27.6 45.8 60.2 70.8 77.8 82.4 85.2 87.0 88.2 89.1 89.9 90.7 91.5 92.3 93.1
74 26.3 44.0 58.4 69.1 76.5 81.4 84.4 86.3 87.6 88.6 89.5 90.3 91.2 92.0 92.8
73 25.1 42.2 56.5 67.5 75.2 80.3 83.6 85.7 87.1 88.2 89.1 90.0 90.8 91.7 92.5
72 23.9 40.6 54.8 65.8 73.8 79.2 82.7 85.0 86.6 87.7 88.7 89.6 90.5 91.3 92.2
71 22.9 39.0 53.0 64.2 72.5 78.2 81.9 84.4 86.0 87.2 88.3 89.2 90.1 91.0 91.9
70 21.9 37.5 51.4 62.7 71.2 77.2 81.1 83.7 85.5 86.8 87.8 88.8 89.8 90.7 91.6
69 20.9 36.1 49.9 61.2 70.0 76.1 80.2 83.0 84.9 86.3 87.4 88.5 89.4 90.4 91.3
68 20.0 34.7 48.3 59.7 68.6 75.0 79.4 82.3 84.4 85.8 87.0 88.1 89.1 90.1 91.0
67 19.2 33.3 46.7 58.2 67.3 73.9 78.5 81.6 83.8 85.3 86.6 87.7 88.7 89.8 90.8
66 18.3 32.0 45.2 56.6 65.9 72.8 77.5 80.8 83.1 84.8 86.1 87.3 88.4 89.4 90.4
65 17.5 30.7 43.7 55.1 64.6 71.6 76.6 80.1 82.5 84.3 85.7 86.9 88.0 89.1 90.1
64 16.7 29.5 42.2 53.6 63.2 70.4 75.6 79.3 81.9 83.7 85.2 86.5 87.6 88.8 89.8
63 16.0 28.3 40.7 52.1 61.8 69.2 74.6 78.5 81.2 83.2 84.8 86.1 87.3 88.4 89.5
62 15.3 27.1 39.4 50.7 60.5 68.0 73.7 77.7 80.5 82.6 84.3 85.7 86.9 88.1 89.2
61 14.6 26.0 38.0 49.3 59.1 66.9 72.7 76.8 79.9 82.1 83.8 85.2 86.5 87.8 88.9
60 14.0 25.0 36.7 47.9 57.8 65.7 71.7 76.0 79.2 81.5 83.3 84.8 86.2 87.4 88.6
59 13.4 24.0 35.4 46.5 56.5 64.5 70.6 75.2 78.5 80.9 82.8 84.4 85.8 87.1 88.3
58 12.8 23.0 34.2 45.2 55.1 63.3 69.6 74.3 77.8 80.3 82.3 84.0 85.4 86.7 88.0
57 12.2 22.0 33.0 43.8 53.8 62.0 68.5 73.4 77.0 79.7 81.8 83.5 85.0 86.4 87.7
56 11.7 21.1 31.8 42.5 52.5 60.8 67.5 72.5 76.3 79.1 81.3 83.1 84.6 86.0 87.3
55 11.1 20.2 30.6 41.3 51.1 59.6 66.4 71.6 75.5 78.5 80.8 82.6 84.2 85.7 87.0
54 10.7 19.4 29.5 40.0 49.9 58.4 65.3 70.7 74.7 77.8 80.2 82.2 83.8 85.3 86.7
53 10.2 18.6 28.4 38.8 48.6 57.1 64.2 69.7 74.0 77.2 79.7 81.7 83.4 84.9 86.4
52 9.7 17.8 27.4 37.6 47.3 55.9 63.1 68.8 73.2 76.5 79.1 81.2 83.0 84.6 86.0
51 9.3 17.1 26.4 36.4 46.1 54.7 62.0 67.9 72.4 75.8 78.6 80.7 82.6 84.2 85.7
50 8.9 16.4 25.4 35.2 44.8 53.5 60.9 66.9 71.6 75.2 78.0 80.3 82.2 83.8 85.4
49 8.5 15.7 24.5 34.1 43.6 52.3 59.8 65.9 70.7 74.5 77.4 79.8 81.7 83.5 85.0
48 8.1 15.0 23.5 33.0 42.4 51.1 58.7 65.0 69.9 73.8 76.8 79.3 81.3 83.1 84.7
47 7.8 14.4 22.7 31.9 41.2 50.0 57.6 64.0 69.1 73.1 76.2 78.7 80.9 82.7 84.3
46 7.4 13.8 21.8 30.9 40.1 48.8 56.5 63.0 68.2 72.3 75.6 78.2 80.4 82.3 84.0
45 7.1 13.2 21.0 29.8 38.9 47.6 55.4 62.0 67.3 71.6 75.0 77.7 80.0 81.9 83.7
44 6.8 12.6 20.2 28.8 37.8 46.5 54.3 61.0 66.5 70.9 74.3 77.2 79.5 81.5 83.3
43 6.5 12.1 19.4 27.9 36.7 45.4 53.2 60.0 65.6 70.1 73.7 76.6 79.0 81.1 82.9
42 6.2 11.6 18.7 26.9 35.7 44.3 52.1 59.0 64.7 69.3 73.1 76.1 78.6 80.7 82.6
41 5.9 11.1 17.9 26.0 34.6 43.2 51.1 58.0 63.8 68.6 72.4 75.5 78.1 80.3 82.2
40 5.7 10.6 17.2 25.1 33.6 42.1 50.0 57.0 62.9 67.8 71.7 75.0 77.6 79.9 81.9
39 5.4 10.2 16.6 24.3 32.6 41.0 48.9 56.0 62.0 67.0 71.1 74.4 77.1 79.5 81.5
38 5.2 9.7 15.9 23.4 31.6 40.0 47.9 55.0 61.1 66.2 70.4 73.8 76.6 79.0 81.1
37 5.0 9.3 15.3 22.6 30.7 38.9 46.8 54.0 60.2 65.4 69.7 73.2 76.1 78.6 80.7
36 4.7 8.9 14.7 21.8 29.7 37.9 45.8 53.0 59.3 64.6 69.0 72.6 75.6 78.2 80.4
35 4.5 8.5 14.1 21.1 28.8 36.9 44.8 52.0 58.4 63.8 68.3 72.0 75.1 77.7 80.0
34 4.3 8.2 13.6 20.3 27.9 35.9 43.8 51.0 57.5 63.0 67.6 71.4 74.6 77.3 79.6
33 4.1 7.8 13.0 19.6 27.1 35.0 42.8 50.1 56.6 62.2 66.9 70.8 74.1 76.8 79.2
32 4.0 7.5 12.5 18.9 26.2 34.0 41.8 49.1 55.6 61.3 66.2 70.2 73.5 76.3 78.8
31 3.8 7.2 12.0 18.2 25.4 33.1 40.8 48.1 54.7 60.5 65.4 69.5 73.0 75.9 78.4
30 3.6 6.9 11.6 17.6 24.6 32.2 39.8 47.2 53.8 59.7 64.7 68.9 72.4 75.4 78.0
29 3.5 6.6 11.1 16.9 23.8 31.3 38.9 46.2 52.9 58.8 63.9 68.3 71.9 74.9 77.6
28 3.3 6.3 10.7 16.3 23.0 30.4 38.0 45.3 52.0 58.0 63.2 67.6 71.3 74.5 77.1
27 3.2 6.0 10.2 15.7 22.3 29.6 37.0 44.3 51.1 57.2 62.5 67.0 70.7 74.0 76.7
26 3.0 5.8 9.8 15.2 21.6 28.7 36.1 43.4 50.2 56.3 61.7 66.3 70.2 73.5 76.3
25 2.9 5.5 9.4 14.6 20.9 27.9 35.2 42.5 49.3 55.5 60.9 65.6 69.6 73.0 75.9
24 2.8 5.3 9.1 14.1 20.2 27.1 34.4 41.6 48.4 54.7 60.2 65.0 69.0 72.5 75.4
23 2.6 5.1 8.7 13.6 19.5 26.3 33.5 40.7 47.5 53.8 59.4 64.3 68.4 72.0 75.0
22 2.5 4.8 8.3 13.1 18.9 25.6 32.6 39.8 46.7 53.0 58.7 63.6 67.8 71.4 74.5
21 2.4 4.6 8.0 12.6 18.3 24.8 31.8 38.9 45.8 52.2 57.9 62.9 67.2 70.9 74.1
20 2.3 4.4 7.7 12.1 17.7 24.1 31.0 38.1 44.9 51.4 57.1 62.2 66.6 70.4 73.6
19 2.2 4.2 7.4 11.7 17.1 23.4 30.2 37.2 44.1 50.5 56.4 61.5 66.0 69.9 73.2
18 2.1 4.1 7.1 11.3 16.5 22.7 29.4 36.4 43.2 49.7 55.6 60.8 65.4 69.3 72.7
17 2.0 3.9 6.8 10.8 16.0 22.0 28.6 35.6 42.4 48.9 54.8 60.1 64.8 68.8 72.2
16 1.9 3.7 6.5 10.4 15.4 21.3 27.9 34.7 41.6 48.1 54.1 59.4 64.2 68.2 71.7
15 1.8 3.6 6.3 10.1 14.9 20.7 27.2 33.9 40.7 47.3 53.3 58.7 63.5 67.7 71.3
14 1.8 3.4 6.0 9.7 14.4 20.1 26.4 33.2 39.9 46.5 52.6 58.0 62.9 67.1 70.8
13 1.7 3.3 5.8 9.3 13.9 19.5 25.7 32.4 39.1 45.7 51.8 57.3 62.3 66.6 70.3
12 1.6 3.1 5.5 9.0 13.5 18.9 25.0 31.6 38.3 44.9 51.0 56.6 61.6 66.0 69.8
11 1.5 3.0 5.3 8.7 13.0 18.3 24.4 30.9 37.6 44.1 50.3 55.9 61.0 65.4 69.3
10 1.5 2.9 5.1 8.3 12.6 17.8 23.7 30.2 36.8 43.3 49.5 55.2 60.4 64.9 68.8
9 1.4 2.7 4.9 8.0 12.1 17.2 23.1 29.4 36.0 42.6 48.8 54.5 59.7 64.3 68.3
8 1.3 2.6 4.7 7.7 11.7 16.7 22.4 28.7 35.3 41.8 48.0 53.8 59.1 63.7 67.8
7 1.3 2.5 4.5 7.4 11.3 16.2 21.8 28.0 34.5 41.0 47.3 53.1 58.4 63.1 67.3
6 1.2 2.4 4.3 7.2 11.0 15.7 21.2 27.4 33.8 40.3 46.6 52.4 57.8 62.6 66.8
5 1.2 2.3 4.2 6.9 10.6 15.2 20.6 26.7 33.1 39.6 45.8 51.8 57.1 62.0 66.2
4 1.1 2.2 4.0 6.6 10.2 14.7 20.1 26.0 32.4 38.8 45.1 51.1 56.5 61.4 65.7
3 1.1 2.1 3.8 6.4 9.9 14.3 19.5 25.4 31.7 38.1 44.4 50.4 55.9 60.8 65.2
2 1.0 2.0 3.7 6.2 9.5 13.8 19.0 24.8 31.0 37.4 43.7 49.7 55.2 60.2 64.7
1 1.0 1.9 3.5 5.9 9.2 13.4 18.5 24.2 30.4 36.7 43.0 49.0 54.6 59.6 64.1
0 0.9 1.9 3.4 5.7 8.9 13.0 17.9 23.6 29.7 36.0 42.3 48.3 53.9 59.0 63.6
Score at
Start of <--- Intended Number of turns to reach 100 or higher --->
Turn 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
-------------------------------------------------------------------------------
99 98.5 98.7 98.8 99.0 99.1 99.2 99.3 99.3 99.4 99.5 99.5 99.6 99.6 99.7 99.7
98 98.5 98.7 98.8 99.0 99.1 99.2 99.3 99.3 99.4 99.5 99.5 99.6 99.6 99.7 99.7
97 98.5 98.7 98.8 99.0 99.1 99.2 99.3 99.3 99.4 99.5 99.5 99.6 99.6 99.7 99.7
96 98.5 98.7 98.8 99.0 99.1 99.2 99.3 99.3 99.4 99.5 99.5 99.6 99.6 99.7 99.7
95 98.5 98.6 98.8 98.9 99.0 99.1 99.2 99.3 99.4 99.4 99.5 99.6 99.6 99.6 99.7
94 98.3 98.5 98.7 98.8 99.0 99.1 99.2 99.3 99.3 99.4 99.5 99.5 99.6 99.6 99.7
93 98.1 98.3 98.5 98.7 98.8 99.0 99.1 99.2 99.2 99.3 99.4 99.5 99.5 99.6 99.6
92 97.9 98.1 98.3 98.5 98.7 98.8 98.9 99.0 99.1 99.2 99.3 99.4 99.4 99.5 99.6
91 97.5 97.8 98.0 98.3 98.4 98.6 98.8 98.9 99.0 99.1 99.2 99.3 99.4 99.4 99.5
90 97.2 97.6 97.8 98.1 98.3 98.5 98.6 98.8 98.9 99.0 99.1 99.2 99.3 99.4 99.4
89 97.0 97.3 97.6 97.9 98.1 98.3 98.5 98.7 98.8 98.9 99.0 99.1 99.2 99.3 99.4
88 96.8 97.2 97.5 97.8 98.0 98.2 98.4 98.6 98.7 98.9 99.0 99.1 99.2 99.3 99.3
87 96.7 97.0 97.4 97.6 97.9 98.1 98.3 98.5 98.7 98.8 98.9 99.0 99.1 99.2 99.3
86 96.5 96.9 97.2 97.5 97.8 98.0 98.2 98.4 98.6 98.7 98.9 99.0 99.1 99.2 99.3
85 96.3 96.7 97.1 97.4 97.7 97.9 98.1 98.3 98.5 98.7 98.8 98.9 99.0 99.1 99.2
84 96.1 96.5 96.9 97.2 97.5 97.8 98.0 98.2 98.4 98.6 98.7 98.9 99.0 99.1 99.2
83 95.8 96.2 96.7 97.0 97.3 97.6 97.9 98.1 98.3 98.5 98.6 98.8 98.9 99.0 99.1
82 95.5 96.0 96.4 96.8 97.2 97.5 97.7 98.0 98.2 98.4 98.5 98.7 98.8 99.0 99.1
81 95.2 95.8 96.2 96.6 97.0 97.3 97.6 97.9 98.1 98.3 98.5 98.6 98.8 98.9 99.0
80 95.0 95.5 96.0 96.5 96.8 97.2 97.5 97.7 98.0 98.2 98.4 98.6 98.7 98.8 99.0
79 94.8 95.3 95.8 96.3 96.7 97.1 97.4 97.6 97.9 98.1 98.3 98.5 98.6 98.8 98.9
78 94.6 95.1 95.7 96.1 96.6 96.9 97.3 97.5 97.8 98.0 98.2 98.4 98.6 98.7 98.9
77 94.3 94.9 95.5 96.0 96.4 96.8 97.1 97.4 97.7 97.9 98.2 98.4 98.5 98.7 98.8
76 94.1 94.7 95.3 95.8 96.3 96.7 97.0 97.3 97.6 97.9 98.1 98.3 98.5 98.6 98.8
75 93.8 94.5 95.1 95.6 96.1 96.5 96.9 97.2 97.5 97.8 98.0 98.2 98.4 98.6 98.7
74 93.5 94.2 94.9 95.4 95.9 96.4 96.7 97.1 97.4 97.7 97.9 98.1 98.3 98.5 98.7
73 93.3 94.0 94.6 95.2 95.7 96.2 96.6 97.0 97.3 97.6 97.8 98.0 98.3 98.4 98.6
72 93.0 93.7 94.4 95.0 95.6 96.0 96.5 96.8 97.2 97.5 97.7 98.0 98.2 98.4 98.5
71 92.7 93.5 94.2 94.8 95.4 95.9 96.3 96.7 97.1 97.4 97.6 97.9 98.1 98.3 98.5
70 92.5 93.3 94.0 94.6 95.2 95.7 96.2 96.6 97.0 97.3 97.6 97.8 98.0 98.2 98.4
69 92.2 93.0 93.8 94.5 95.1 95.6 96.1 96.5 96.8 97.2 97.5 97.7 98.0 98.2 98.4
68 92.0 92.8 93.6 94.3 94.9 95.4 95.9 96.4 96.7 97.1 97.4 97.7 97.9 98.1 98.3
67 91.7 92.6 93.3 94.1 94.7 95.3 95.8 96.2 96.6 97.0 97.3 97.6 97.8 98.1 98.3
66 91.4 92.3 93.1 93.9 94.5 95.1 95.6 96.1 96.5 96.9 97.2 97.5 97.8 98.0 98.2
65 91.1 92.1 92.9 93.7 94.3 95.0 95.5 96.0 96.4 96.8 97.1 97.4 97.7 97.9 98.1
64 90.9 91.8 92.7 93.5 94.2 94.8 95.3 95.8 96.3 96.7 97.0 97.3 97.6 97.9 98.1
63 90.6 91.5 92.4 93.3 94.0 94.6 95.2 95.7 96.2 96.6 96.9 97.2 97.5 97.8 98.0
62 90.3 91.3 92.2 93.0 93.8 94.5 95.1 95.6 96.0 96.5 96.8 97.2 97.5 97.7 98.0
61 90.0 91.0 92.0 92.8 93.6 94.3 94.9 95.4 95.9 96.4 96.7 97.1 97.4 97.7 97.9
60 89.7 90.8 91.7 92.6 93.4 94.1 94.8 95.3 95.8 96.2 96.6 97.0 97.3 97.6 97.8
59 89.4 90.5 91.5 92.4 93.2 94.0 94.6 95.2 95.7 96.1 96.5 96.9 97.2 97.5 97.8
58 89.2 90.3 91.3 92.2 93.0 93.8 94.4 95.0 95.6 96.0 96.4 96.8 97.2 97.5 97.7
57 88.9 90.0 91.0 92.0 92.8 93.6 94.3 94.9 95.4 95.9 96.4 96.7 97.1 97.4 97.7
56 88.6 89.7 90.8 91.8 92.7 93.4 94.1 94.8 95.3 95.8 96.3 96.6 97.0 97.3 97.6
55 88.3 89.5 90.6 91.6 92.5 93.3 94.0 94.6 95.2 95.7 96.2 96.6 96.9 97.2 97.5
54 88.0 89.2 90.3 91.3 92.3 93.1 93.8 94.5 95.1 95.6 96.1 96.5 96.8 97.2 97.5
53 87.7 88.9 90.1 91.1 92.1 92.9 93.7 94.3 94.9 95.5 95.9 96.4 96.8 97.1 97.4
52 87.4 88.7 89.8 90.9 91.9 92.7 93.5 94.2 94.8 95.4 95.8 96.3 96.7 97.0 97.3
51 87.1 88.4 89.6 90.7 91.7 92.6 93.3 94.1 94.7 95.2 95.7 96.2 96.6 96.9 97.3
50 86.8 88.1 89.3 90.5 91.5 92.4 93.2 93.9 94.6 95.1 95.6 96.1 96.5 96.9 97.2
49 86.5 87.8 89.1 90.2 91.3 92.2 93.0 93.8 94.4 95.0 95.5 96.0 96.4 96.8 97.1
48 86.2 87.6 88.8 90.0 91.1 92.0 92.9 93.6 94.3 94.9 95.4 95.9 96.3 96.7 97.1
47 85.9 87.3 88.6 89.8 90.8 91.8 92.7 93.5 94.2 94.8 95.3 95.8 96.3 96.6 97.0
46 85.6 87.0 88.3 89.5 90.6 91.6 92.5 93.3 94.0 94.7 95.2 95.7 96.2 96.6 96.9
45 85.2 86.7 88.1 89.3 90.4 91.4 92.4 93.2 93.9 94.5 95.1 95.6 96.1 96.5 96.9
44 84.9 86.4 87.8 89.1 90.2 91.3 92.2 93.0 93.8 94.4 95.0 95.5 96.0 96.4 96.8
43 84.6 86.1 87.6 88.8 90.0 91.1 92.0 92.9 93.6 94.3 94.9 95.4 95.9 96.3 96.7
42 84.3 85.9 87.3 88.6 89.8 90.9 91.8 92.7 93.5 94.2 94.8 95.3 95.8 96.3 96.7
41 84.0 85.6 87.0 88.4 89.6 90.7 91.7 92.5 93.3 94.0 94.7 95.2 95.7 96.2 96.6
40 83.6 85.3 86.8 88.1 89.4 90.5 91.5 92.4 93.2 93.9 94.6 95.1 95.6 96.1 96.5
39 83.3 85.0 86.5 87.9 89.1 90.3 91.3 92.2 93.1 93.8 94.4 95.0 95.6 96.0 96.4
38 83.0 84.7 86.2 87.6 88.9 90.1 91.1 92.1 92.9 93.7 94.3 94.9 95.5 95.9 96.4
37 82.6 84.4 86.0 87.4 88.7 89.9 91.0 91.9 92.8 93.5 94.2 94.8 95.4 95.9 96.3
36 82.3 84.1 85.7 87.2 88.5 89.7 90.8 91.8 92.6 93.4 94.1 94.7 95.3 95.8 96.2
35 82.0 83.8 85.4 86.9 88.3 89.5 90.6 91.6 92.5 93.3 94.0 94.6 95.2 95.7 96.1
34 81.6 83.5 85.1 86.7 88.0 89.3 90.4 91.4 92.3 93.1 93.9 94.5 95.1 95.6 96.1
33 81.3 83.2 84.9 86.4 87.8 89.1 90.2 91.3 92.2 93.0 93.7 94.4 95.0 95.5 96.0
32 80.9 82.8 84.6 86.2 87.6 88.9 90.0 91.1 92.0 92.9 93.6 94.3 94.9 95.4 95.9
31 80.6 82.5 84.3 85.9 87.4 88.7 89.9 90.9 91.9 92.7 93.5 94.2 94.8 95.4 95.8
30 80.2 82.2 84.0 85.6 87.1 88.5 89.7 90.8 91.7 92.6 93.4 94.1 94.7 95.3 95.8
29 79.8 81.9 83.7 85.4 86.9 88.3 89.5 90.6 91.6 92.5 93.3 94.0 94.6 95.2 95.7
28 79.5 81.6 83.4 85.1 86.7 88.0 89.3 90.4 91.4 92.3 93.1 93.9 94.5 95.1 95.6
27 79.1 81.2 83.1 84.9 86.4 87.8 89.1 90.3 91.3 92.2 93.0 93.8 94.4 95.0 95.5
26 78.7 80.9 82.8 84.6 86.2 87.6 88.9 90.1 91.1 92.1 92.9 93.6 94.3 94.9 95.4
25 78.4 80.6 82.6 84.3 85.9 87.4 88.7 89.9 91.0 91.9 92.8 93.5 94.2 94.8 95.4
24 78.0 80.2 82.3 84.1 85.7 87.2 88.5 89.7 90.8 91.8 92.6 93.4 94.1 94.7 95.3
23 77.6 79.9 82.0 83.8 85.5 87.0 88.3 89.6 90.7 91.6 92.5 93.3 94.0 94.6 95.2
22 77.2 79.6 81.7 83.5 85.2 86.8 88.1 89.4 90.5 91.5 92.4 93.2 93.9 94.5 95.1
21 76.8 79.2 81.3 83.3 85.0 86.5 87.9 89.2 90.3 91.4 92.3 93.1 93.8 94.5 95.0
20 76.4 78.9 81.0 83.0 84.7 86.3 87.7 89.0 90.2 91.2 92.1 93.0 93.7 94.4 95.0
19 76.0 78.5 80.7 82.7 84.5 86.1 87.5 88.8 90.0 91.1 92.0 92.8 93.6 94.3 94.9
18 75.6 78.2 80.4 82.4 84.2 85.9 87.3 88.7 89.8 90.9 91.9 92.7 93.5 94.2 94.8
17 75.2 77.8 80.1 82.1 84.0 85.6 87.1 88.5 89.7 90.8 91.7 92.6 93.4 94.1 94.7
16 74.8 77.4 79.8 81.9 83.7 85.4 86.9 88.3 89.5 90.6 91.6 92.5 93.3 94.0 94.6
15 74.4 77.1 79.5 81.6 83.5 85.2 86.7 88.1 89.4 90.5 91.5 92.4 93.2 93.9 94.5
14 73.9 76.7 79.1 81.3 83.2 85.0 86.5 87.9 89.2 90.3 91.3 92.2 93.1 93.8 94.4
13 73.5 76.3 78.8 81.0 83.0 84.7 86.3 87.7 89.0 90.2 91.2 92.1 93.0 93.7 94.4
12 73.1 75.9 78.5 80.7 82.7 84.5 86.1 87.5 88.8 90.0 91.1 92.0 92.8 93.6 94.3
11 72.7 75.6 78.1 80.4 82.4 84.3 85.9 87.4 88.7 89.9 90.9 91.9 92.7 93.5 94.2
10 72.2 75.2 77.8 80.1 82.2 84.0 85.7 87.2 88.5 89.7 90.8 91.8 92.6 93.4 94.1
9 71.8 74.8 77.5 79.8 81.9 83.8 85.5 87.0 88.3 89.6 90.7 91.6 92.5 93.3 94.0
8 71.3 74.4 77.1 79.5 81.6 83.5 85.2 86.8 88.2 89.4 90.5 91.5 92.4 93.2 93.9
7 70.9 74.0 76.8 79.2 81.4 83.3 85.0 86.6 88.0 89.2 90.4 91.4 92.3 93.1 93.8
6 70.4 73.6 76.4 78.9 81.1 83.0 84.8 86.4 87.8 89.1 90.2 91.3 92.2 93.0 93.7
5 70.0 73.2 76.1 78.6 80.8 82.8 84.6 86.2 87.6 88.9 90.1 91.1 92.1 92.9 93.6
4 69.5 72.8 75.7 78.3 80.5 82.6 84.4 86.0 87.5 88.8 89.9 91.0 91.9 92.8 93.6
3 69.0 72.4 75.4 77.9 80.3 82.3 84.1 85.8 87.3 88.6 89.8 90.9 91.8 92.7 93.5
2 68.6 72.0 75.0 77.6 80.0 82.1 83.9 85.6 87.1 88.4 89.7 90.7 91.7 92.6 93.4
1 68.1 71.6 74.6 77.3 79.7 81.8 83.7 85.4 86.9 88.3 89.5 90.6 91.6 92.5 93.3
0 67.6 71.2 74.3 77.0 79.4 81.5 83.5 85.2 86.7 88.1 89.4 90.5 91.5 92.4 93.2
Optimal Strategy for the Dice Game of Pig
If you want to reach 100 (or more) in the number
of turns shown by the column headers, then match
your "Start of Turn" score with the leftmost
column and use these indexes to find the optimal
"Stop Number" in the table. You should voluntarily
stop rolling the dice when your cumulative dice sum
reaches or exceeds this "Stop Number."
(Lose turn total on single "1". Lose total score on double 1's.)
Computer program by Bill Butler
Score at
Start of <--- Intended Number of turns to reach 100 or higher --->
Turn 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
-------------------------------------------------------------------------------
99 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
98 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
97 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
96 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
95 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
94 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
93 7 7 7 7 7 4 4 4 4 7 7 7 7 7 7
92 8 8 8 8 4 4 4 4 4 4 4 4 4 4 4
91 9 9 9 4 4 4 4 4 4 4 4 4 4 4 4
90 10 10 10 4 4 4 4 4 4 4 4 4 4 4 4
89 11 11 11 4 4 4 4 4 4 4 4 4 4 4 4
88 12 12 12 5 4 4 4 4 4 4 4 4 4 4 4
87 13 13 9 5 5 4 4 4 4 4 4 4 5 5 5
86 14 14 9 6 6 5 4 4 4 4 5 5 5 5 5
85 15 15 9 7 6 6 5 4 4 5 5 5 6 6 6
84 16 16 10 8 7 6 5 4 4 5 5 6 6 6 6
83 17 17 10 8 8 6 5 4 4 5 5 6 6 6 6
82 18 18 11 9 8 6 4 4 4 4 5 5 6 6 6
81 19 19 11 10 8 6 5 4 4 4 5 5 5 6 6
80 20 20 12 10 9 6 5 4 4 4 5 5 6 6 6
79 21 21 13 11 9 6 5 5 5 5 5 5 6 6 6
78 22 22 13 12 9 7 6 5 5 5 5 6 6 6 6
77 23 23 14 13 9 7 6 6 5 5 6 6 6 7 7
76 24 24 15 13 10 8 7 6 6 6 6 6 7 7 7
75 25 25 16 14 10 8 7 6 6 6 6 7 7 7 7
74 26 26 16 14 10 9 7 6 6 6 6 7 7 8 8
73 27 27 17 15 11 9 8 7 6 6 6 7 7 8 8
72 28 28 18 15 11 9 8 7 6 6 6 7 7 8 8
71 29 29 19 15 11 10 8 7 6 6 6 7 7 8 8
70 30 30 19 15 12 10 9 7 6 6 7 7 8 8 8
69 31 31 20 15 12 11 9 7 7 7 7 7 8 8 8
68 32 32 21 16 13 11 9 8 7 7 7 7 8 8 9
67 33 33 21 16 13 11 9 8 7 7 7 8 8 8 9
66 34 34 22 17 13 11 10 8 8 7 7 8 8 9 9
65 35 35 22 17 14 12 10 9 8 8 8 8 8 9 9
64 36 36 22 17 14 12 10 9 8 8 8 8 9 9 9
63 37 37 23 17 14 12 11 9 9 8 8 8 9 9 9
62 38 38 23 18 14 12 11 10 9 8 8 8 9 9 10
61 39 39 24 18 15 13 11 10 9 8 8 8 9 9 10
60 40 40 24 18 15 13 12 10 9 9 8 8 9 9 10
59 41 41 25 19 16 14 12 11 9 9 8 9 9 10 10
58 42 42 25 19 16 14 12 11 10 9 9 9 9 10 10
57 43 43 26 19 17 14 12 11 10 9 9 9 9 10 10
56 44 44 26 20 17 14 13 11 10 9 9 9 9 10 10
55 45 45 27 20 17 15 13 11 10 10 9 9 10 10 10
54 46 46 28 21 18 15 13 12 11 10 10 9 10 10 11
53 47 47 28 21 18 15 13 12 11 10 10 10 10 10 11
52 48 48 29 22 19 16 14 12 11 10 10 10 10 10 11
51 49 49 29 22 19 16 14 12 11 11 10 10 10 11 11
50 50 50 30 23 19 16 14 13 12 11 10 10 10 11 11
49 51 51 31 23 20 16 14 13 12 11 10 10 10 11 11
48 52 52 31 24 20 17 15 13 12 11 11 10 11 11 11
47 53 53 32 24 20 17 15 13 12 11 11 11 11 11 11
46 54 54 32 25 21 17 15 14 12 12 11 11 11 11 11
45 55 55 32 25 21 18 15 14 13 12 11 11 11 11 12
44 56 56 33 26 21 18 16 14 13 12 11 11 11 11 12
43 57 57 33 26 22 18 16 14 13 12 12 11 11 11 12
42 58 58 34 26 22 19 16 15 13 12 12 11 11 12 12
41 59 59 34 27 22 19 17 15 14 13 12 12 11 12 12
40 60 60 35 27 23 19 17 15 14 13 12 12 12 12 12
39 61 61 35 28 23 19 17 15 14 13 12 12 12 12 12
38 62 62 36 28 23 20 17 16 14 13 12 12 12 12 12
37 63 63 37 28 23 20 18 16 14 13 13 12 12 12 12
36 64 64 37 29 24 20 18 16 15 14 13 12 12 12 13
35 65 65 38 29 24 21 18 16 15 14 13 13 12 12 13
34 66 66 38 30 24 21 19 17 15 14 13 13 13 13 13
33 67 67 39 30 25 21 19 17 15 14 13 13 13 13 13
32 68 68 39 30 25 22 19 17 16 14 14 13 13 13 13
31 69 69 40 31 25 22 19 17 16 15 14 13 13 13 13
30 70 70 40 31 26 22 20 18 16 15 14 13 13 13 13
29 71 71 41 32 26 22 20 18 16 15 14 14 13 13 13
28 72 72 41 32 26 23 20 18 16 15 14 14 13 13 13
27 73 73 42 32 27 23 20 18 17 15 15 14 14 13 13
26 74 74 42 33 27 23 21 19 17 16 15 14 14 14 14
25 75 75 43 33 27 24 21 19 17 16 15 14 14 14 14
24 76 76 43 34 28 24 21 19 17 16 15 14 14 14 14
23 77 77 44 34 28 24 22 19 18 16 15 15 14 14 14
22 78 78 44 34 28 25 22 20 18 17 16 15 14 14 14
21 79 79 45 35 29 25 22 20 18 17 16 15 15 14 14
20 80 80 45 35 29 25 22 20 18 17 16 15 15 14 14
19 81 81 46 36 29 26 23 20 19 17 16 15 15 15 14
18 82 82 47 36 30 26 23 21 19 17 16 16 15 15 15
17 83 83 47 36 30 26 23 21 19 18 17 16 15 15 15
16 84 84 48 37 31 27 23 21 19 18 17 16 15 15 15
15 85 85 48 37 31 27 24 21 20 18 17 16 16 15 15
14 86 86 49 38 31 27 24 22 20 18 17 16 16 15 15
13 87 87 49 38 32 28 24 22 20 19 17 17 16 15 15
12 88 88 50 39 32 28 25 22 20 19 18 17 16 16 15
11 89 89 50 39 32 28 25 22 21 19 18 17 16 16 15
10 90 90 51 39 33 28 25 23 21 19 18 17 16 16 16
9 91 91 51 40 33 29 25 23 21 20 18 17 17 16 16
8 92 92 52 40 34 29 26 23 21 20 19 18 17 16 16
7 93 93 52 41 34 29 26 23 22 20 19 18 17 16 16
6 94 94 53 41 34 30 26 24 22 20 19 18 17 17 16
5 95 95 53 42 35 30 26 24 22 20 19 18 17 17 16
4 96 96 54 42 35 30 27 24 22 21 19 18 18 17 17
3 97 97 55 42 35 31 27 25 22 21 20 19 18 17 17
2 98 98 55 43 36 31 27 25 23 21 20 19 18 17 17
1 99 99 56 43 36 31 28 25 23 21 20 19 18 17 17
0 100 100 56 44 36 32 28 25 23 22 20 19 18 18 17
Score at
Start of <--- Intended Number of turns to reach 100 or higher --->
Turn 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
-------------------------------------------------------------------------------
99 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
98 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
97 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
96 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
95 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
94 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
93 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
92 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
91 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
90 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
89 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
88 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4
87 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
86 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5
85 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
84 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
83 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
82 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
81 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
80 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
79 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6
78 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6
77 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
76 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7
75 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7
74 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
73 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
72 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
71 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
70 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8
69 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8
68 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9
67 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
66 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
65 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
64 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9
63 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10
62 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10
61 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10
60 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10
59 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10
58 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10
57 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10
56 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11
55 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11
54 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11
53 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11
52 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11
51 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11
50 11 12 12 12 12 12 12 12 12 12 11 11 11 12 12
49 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12
48 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12
47 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12
46 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12
45 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12
44 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12
43 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12
42 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13
41 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13
40 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13
39 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13
38 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13
37 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13
36 13 13 13 13 14 14 13 13 13 13 13 13 13 13 13
35 13 13 13 14 14 14 14 14 13 13 13 13 13 13 13
34 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14
33 13 13 14 14 14 14 14 14 14 14 14 14 14 14 14
32 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14
31 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14
30 13 14 14 14 14 14 14 14 14 14 14 14 14 14 14
29 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14
28 14 14 14 14 14 14 14 14 14 14 14 14 14 14 14
27 14 14 14 14 15 15 15 15 14 14 14 14 14 14 14
26 14 14 14 15 15 15 15 15 15 15 15 14 14 14 14
25 14 14 14 15 15 15 15 15 15 15 15 15 15 15 15
24 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15
23 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15
22 14 14 15 15 15 15 15 15 15 15 15 15 15 15 15
21 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15
20 14 15 15 15 15 15 15 15 15 15 15 15 15 15 15
19 15 15 15 15 15 15 15 15 15 15 15 15 15 15 15
18 15 15 15 15 15 15 16 15 15 15 15 15 15 15 15
17 15 15 15 15 15 16 16 16 16 16 16 15 15 15 15
16 15 15 15 15 16 16 16 16 16 16 16 16 16 16 16
15 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16
14 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16
13 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16
12 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16
11 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16
10 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16
9 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16
8 16 16 16 16 16 16 16 17 17 17 16 16 16 16 16
7 16 16 16 16 16 16 17 17 17 17 17 17 17 17 17
6 16 16 16 16 16 17 17 17 17 17 17 17 17 17 17
5 16 16 16 16 17 17 17 17 17 17 17 17 17 17 17
4 16 16 16 16 17 17 17 17 17 17 17 17 17 17 17
3 16 16 16 17 17 17 17 17 17 17 17 17 17 17 17
2 17 16 17 17 17 17 17 17 17 17 17 17 17 17 17
1 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17
0 17 17 17 17 17 17 17 17 17 17 17 17 17 17 17
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within a Linux Cinnamon Mint 18 operating system.
(Goodbye Microsoft)