Two distinct number cubes, one red and one blue, are rolled together. 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.

Step-by-step explanation:

Given

Two cubes of side 1 - 6

Required

Probability that the outcome of the roll is an odd sum or a sum that is a multiple of 5

First, the sample space needs to be listed;

Let represent the Red cube

represent the Blue cube

S represent the sample space

S is gotten by getting the sum of and

Calculating the Probability

Let represent the event that an outcome is an odd sum

Let represent the event that an outcome is a multiple of 5

Let represent the event that an outcome is an odd sum and a multiple of 5

Calculating

Hence, the probability that the outcome of the roll is an odd sum or a sum that is a multiple of 5 is