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Two number cubes are rolled. Each number cube has sides numbered 1 through 6.

 

What is the probability that the outcome of the roll is an even sum or a sum that is a multiple of 5?

 Oct 15, 2020
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For 2 dice, the probability of rolling an EVEN sum of: 2 or 4 or 6 or 8 or 10 or 12 are as follows:

 

1 + 3 + 5 + 5 + 3 + 1 =18 / 6^2 =1 / 2

 

The probability of rolling a sum of 5 or 10 is as follows:

 

4 + 3 = 7 / 6^2 = 7 / 36

 

Finally, the overall probability of rolling an EVEN sum, or a sum of 5 or 10 is:

 

[18 + 7] / 6^2 = 25 / 36

 
 Oct 15, 2020

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