Question

You have three dice: one red (R), one green (G), and one blue (B). When all three dice are rolled at the same time, how do you calculate the probability of the following outcomes: the same number on all dice?

Answer 1

The chance for the same number to be on all 3 dice is `1/36`.

Explanation:

With one die, we have 6 outcomes. Adding one more, we now have 6 outcomes for each of the old die's outcomes, or `6^2 = 36`. The same happens with the third, bringing it up to `6^3 = 216`. There are six unique outcomes where all dice roll the same number:

1 1 1
2 2 2
3 3 3
4 4 4
5 5 5 and
6 6 6

So the chance is `6/216` or `1/36`.