Question

Two dice are rolled. What is the probability that the sum of the numbers rolled is either 3 and 8? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest million

Answer 1

The two dice have 6 numbers each.

Look at the image to find the outcomes:

First, we need to find the total of outcomes with the sum of 3:

T. outcomes with the sum of 3 = 2

Now, find the total of outcomes with the sum of 8 = 5

When we ave in probability the expression "or" we add the probabilities:

In this case,

T. outcomes with the sum of 3 + T. outcomes with the sum of 8.

Replace the values and sum:

P = 2 +5

P = 7

Now, to find the probability divide it by the total of outcomes

Total outcomes= 36. because 6 * 6 = 36

P( sum being 3 or 8) = 7/36