This question has four parts.

Question

Gloria has two number cubes with faces numbered 1 through 6. She will roll each number cube once.

Part A

Make an organized list to show the sample space for rolling the two number cubes once.

Part B

How many possible outcomes are in the sample space for rolling the two number cubes once?

Part C

Gloria wants to roll the number cubes once and get a sum of 8 on the top faces. List the outcomes in the sample space that have a sum of 8.

Part D

What is the probability that Gloria will get a sum of 8 on the top faces when she rolls the two number cubes once?

Be sure to label each part of your answer.

Answer 1

Part A:

Organized list of sample space for rolling two number cubes once:

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
(2,1), (2,2), (2,3), (2,4), (2,5), (2,6)
(3,1), (3,2), (3,3), (3,4), (3,5), (3,6)
(4,1), (4,2), (4,3), (4,4), (4,5), (4,6)
(5,1), (5,2), (5,3), (5,4), (5,5), (5,6)
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)

Part B:

There are 36 possible outcomes in the sample space for rolling the two number cubes once.

Part C:

Outcomes in the sample space that have a sum of 8:

(2,6), (3,5), (4,4), (5,3), (6,2)

Part D:

Probability of getting a sum of 8 on the top faces when rolling the two number cubes once:

Number of favorable outcomes: 5
Total number of outcomes: 36

Probability = Number of favorable outcomes / Total number of outcomes
Probability = 5 / 36
Probability ≈ 0.139 or 13.9%