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 odd sum or a sum that is a multiple of 5?

Enter your answer, in simplest fraction form, in the box.

P (odd) or P (multiple of 5)

When we roll 2 number cubes

all possible outcomes of their sum are 2,3,4,5,6,7,8,9,10,11,12. (11 possible outcomes)

Out of those possible outcomes

3,5,7,9,11 are odd (5 outcomes) and ...

5 and 10 are multiples of 5 (2 outcomes)

Now, P (odd) or P (multiple of 5) really means P (odd) + P (multiple of 5) =

(If we had "and" instead of "or" we multiply)

= (5/11) + (2/11)

=7/11