When rolling two number cubes simultaneously, what is the probability of rolling a 1 on one cube and a 6 on the other?

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Mar 8, 2018

The answer is 2/36 or 1/18

Explanation:

This is a compound probability problem. The probability of rolling a 1 on one cube is 1/6 and a 6 on the other is also 1/6, so those two together is

$\frac{1}{6} \times \frac{1}{6} = \frac{1}{36}$

However, there are two ways to accomplish this. Suppose your two number cubes are different colors, say red & green. You could roll your 1 on either the red or the green cube, so instead of your answer being 1/36, it is 2/36.

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