Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the di...

Question

Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is:

A. 1/9
B. 2/9
C. 1/4
D. 1/3

Accepted Answer

The probability that the product of numbers on both dice is a perfect square is 2/9. Answer: B. When two standard dice are thrown, each shows a value from 1 to 6. The total sample space has 36 equally likely outcomes. We must count all ordered pairs (a, b) where a * b is a perfect square — that is, equals 1, 4, 9, 16, 25, or 36. We then divide the favorable count by 36.

Two dice are thrown simultaneously. The probability that the product of the numbers appearing on the top faces of the dice is a perfect square is: A. 1/9 B. 2/9 C. 1/4 D. 1/3