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?

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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?

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Answer 1 · 2017-01-18T19:59:18

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#.

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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?

1 Answer

Explanation:

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