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Suppose we have 2 fair 6-sided dice numbered from 1 to 6. If we roll them both, what is the probability that the two numbers shown sum to 7?

 Jun 21, 2020
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We find the number of ways where the two numbers on the dice rolled add up to 7.

We can have:

1 6

2 5

3 4

4 3

5 2

6 1

 

The total number of sums we can get is 6 x 6=36.

So the probability of rolling a sum of 6 is 6/36=1/6.

 Jun 21, 2020

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