Question

You roll two number cubes at the same time. Each cube has sides numbered 1 through 6. What is the probability that the sum of the numbers rolled is odd or greater than 8? Enter your answer as a fraction in simplest form.

Answer 1

To find the probability of rolling a sum that is either odd or greater than 8, we can analyze the possible outcomes.

For the sum to be odd, we need one even number and one odd number. There are 3 even numbers (2, 4, 6) and 3 odd numbers (1, 3, 5) on each cube. So, the probability of rolling an odd sum is (3/6) * (3/6) = 9/36.

For the sum to be greater than 8, we can have the following outcomes: (3, 6), (4, 5), (5, 4), and (6, 3). So, the probability of rolling a sum greater than 8 is 4/36.

To find the probability of either event occurring, we can add the probabilities together: 9/36 + 4/36 = 13/36.

Therefore, the probability of rolling a sum that is odd or greater than 8 is 13/36.