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?
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