When two six-sided dice are rolled, there are 36 possible outcomes.

a. Find the probability that the sum is not 4. Express your first answer as a fraction in simplest form, and round your percent answer to the nearest whole percent.

b. Find the probability that the sum is greater than 5. Express your first answer as a fraction in simplest form, and round your percent answer to the nearest whole percent.

Question

Gaven Lowery

Mathematics

2 October, 02:14

When two six-sided dice are rolled, there are 36 possible outcomes.

a. Find the probability that the sum is not 4. Express your first answer as a fraction in simplest form, and round your percent answer to the nearest whole percent.

b. Find the probability that the sum is greater than 5. Express your first answer as a fraction in simplest form, and round your percent answer to the nearest whole percent.

+4

Answers (1)

Know the Answer?

Jovani Rasmussen · Answer 1

A. 33/36 or 92% B. 26/36 or 72%

A. List the possibilities that do have a sum of 4. (1,3) (3,1) (2,2). 3/36. subtract 3/36 from the whole to get probability it does not have a sum of 4. 36/36-3/36=33/36 or 92%

B. List the possibilities if is less than or equal to 5 because it will be a smaller amount than if it is greater and subtract like we did in the previous problem. (1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1). 10 total 36/36-10/36 = 26/36 or 72%