52.1k views
5 votes
LaTonda rolls two number cubes that are each numbered 1 through 6. What is the probability that the sum of the numbers on the top of both cubes will be a multiple of 4?

1 Answer

3 votes
To find the probability that the sum of the numbers on the top of both cubes will be a multiple of 4, we need to determine the favorable outcomes and the total possible outcomes.

Favorable outcomes: The sum of the numbers on the top of both cubes will be a multiple of 4. The possible combinations are (1,3), (3,1), (2,2), (4,4), (2,6), (6,2), (3,5), (5,3), (4,6), (6,4), (5,5), and (6,6), which is a total of 12 outcomes.

Total possible outcomes: Since each cube has 6 possible outcomes (numbers 1 through 6), the total possible outcomes for both cubes is 6 * 6 = 36.

Therefore, the probability is given by favorable outcomes divided by total possible outcomes:
Probability = 12/36 = 1/3 or approximately 0.3333

So, the probability that the sum of the numbers on the top of both cubes will be a multiple of 4 is 1/3 or approximately 0.3333.
User Cutter
by
8.2k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories