Craps Odds

What are the odds with two dice that you will roll snake eyes on any one toss?

In dice games rolling snake eyes (two ones) is considered a bad thing. What are the odds with two dice that you will roll snake eyes on any one toss?

Answer

In a dice game where you roll two fair six-sided dice, the odds of rolling snake eyes (rolling two ones) on any single toss can be calculated as follows:

There are a total of 6 sides on each die, resulting in 6 x 6 = 36 possible combinations when rolling two dice. Only one of these combinations results in snake eyes: a 1 on the first die and a 1 on the second die.

So, the probability of rolling snake eyes on any single toss is 1 (favorable outcome) divided by 36 (total possible outcomes), which equals 1/36.

As a percentage, this probability is approximately 2.78% (1/36 x 100%). This means that on any given toss, there’s a 2.78% chance of rolling snake eyes with two fair six-sided dice.