Contents
Introduction
When throwing a pair of dice, it is important to remember that the two dice are independent of each other.
is a different result than , even though they both add up to 7. There are a total of 36 different possible outcomes.
Playing Craps
Come Out Roll: 7 or 11 Wins; 2, 3, or 12 Loses
When playing craps, a 7 or 11 on the first roll wins and a 2, 3, or 12 loses. On the first roll, there are 8 ways to win, 4 ways to lose, and 24 ways to do neither.
Your chances of winning on the first roll are 8 : 4 : 24 (2 : 1 : 6) — 22.22% win, 11.11% lose, and 66.67% neither.
Point 4: 4 Wins; 7 Loses
Your chances of winning are: 3 : 6 (1 : 2) or 33.33% win and 66.67% lose. Your chances of winning on the next roll are 3 : 6 : 27 (1 : 2 : 9) — 8.33% win, 16.67% lose, and 75.00% neither.
Point 5: 5 Wins; 7 Loses
Your chances of winning are: 4 : 6 (2 : 3) or 40.00% win and 60.00% lose. Your chances of winning on the next roll are 4 : 6 : 26 (2 : 3 : 13) — 11.11% win, 16.67% lose, and 72.22% neither.
Point 6: 6 Wins; 7 Loses
Your chances of winning are: 5 : 6 or 45.45% win and 54.55% lose. Your chances of winning on the next roll are 5 : 6 : 25 — 13.89% win, 16.67% lose, and 69.44% neither.
Point 8: 8 Wins; 7 Loses
Your chances of winning are: 5 : 6 or 45.45% win and 54.55% lose. Your chances of winning on the next roll are 5 : 6 : 25 — 13.89% win, 16.67% lose, and 69.44% neither.
Point 9: 9 Wins; 7 Loses
Your chances of winning are: 4 : 6 (2 : 3) or 40.00% win and 60.00% lose. Your chances of winning on the next roll are 4 : 6 : 26 (2 : 3 : 13) — 11.11% win, 16.67% lose, and 72.22% neither.
Point 10: 10 Wins; 7 Loses
Your chances of winning are: 3 : 6 (1 : 2) or 33.33% win and 66.67% lose. Your chances of winning on the next roll are 3 : 6 : 27 (1 : 2 : 9) — 8.33% win, 16.67% lose, and 75.00% neither.
Percent Chance of Winning
A table showing the percentages if you have n ways to win.
| n | % | n | % | n | % | n | % |
|---|---|---|---|---|---|---|---|
| 1 | 2.78% | 10 | 27.78% | 19 | 52.78% | 28 | 77.78% |
| 2 | 5.56% | 11 | 30.56% | 20 | 55.56% | 29 | 80.56% |
| 3 | 8.33% | 12 | 33.33% | 21 | 58.33% | 30 | 83.33% |
| 4 | 11.11% | 13 | 36.11% | 22 | 61.11% | 31 | 86.11% |
| 5 | 13.89% | 14 | 38.89% | 23 | 63.89% | 32 | 88.89% |
| 6 | 16.67% | 15 | 41.67% | 24 | 66.67% | 33 | 91.67% |
| 7 | 19.44% | 16 | 44.44% | 25 | 69.44% | 34 | 94.44% |
| 8 | 22.22% | 17 | 47.22% | 26 | 72.22% | 35 | 97.22% |
| 9 | 25.00% | 18 | 50.00% | 27 | 75.00% | 36 | 100.00% |