Mathematically, there are 36 different outcomes when you roll 2 dice. The most frequent outcome is 7 which covers 6 possible outcomes out of the 36 total possibilities. The rarest outcome is 2 and 12 with each covering one of the 36 total outcomes. To give yourself the best chance at winning, you should not gamble with dice without knowing the probabilities.
When calculating the odds of winning a pass line bet in your first roll, you will have to look for how many possibilities there are for getting 7 or 11. Statistically, the possibilities for this outcome is 6 and 2. In total, your chances of winning your come out roll will be 8 out of 36. You might be asking what is the risk of losing the come-out bet. The outcomes 2, 3 and 12 cover a total of 4 out of 36 of the possible outcomes. So statistically, your chances of winning the come-out roll are twice that of losing it.
All in all, the changes of winning or losing the come-out roll is 12 out of 36 which covers 1/3 of the all possible outcomes. As the game continues, the odds change extremely. The chances of winning on a pass line bet are 8 out of 36 in your first roll while the chances of winning on a don’t pass bet is 4 out of 36. If you have established a point, the chances of rolling that point again is smaller than the risk of rolling a 7. In short, your chances of rolling 4 before rolling a 7 is 1-2.
Don’t come bettors have a better chance of winning than pass line bettors after the come-out roll. The house edge for a pass line bet is 1.414% and it would be a lot smaller for the don’t pass bet if 12 did not result in a tie. Thus, the house edge for a don’t pass bet is 1.402%, which makes it better by a small amount.