If two fair dice, one red and one white, are rolled, in how many ways can the result be obtained?
-The product of the numbers on the two dice is a perfect square.
A)7 ways
B)8 ways
C)6 ways
D)5 ways

Question

Quizplus · Accepted Answer

The product of the numbers on the two dice being a perfect square limits the combinations. The possible perfect squares from the product of two numbers each ranging from 1 to 6 are 1 (1x1), 4 (2x2 or 1x4), 9 (3x3 or 1x9), and 16 (4x4). However, since the dice only go up to 6, the valid combinations are: (1,1), (2,2), (3,3), (4,4), (1,4), (4,1), (2,4), and (4,2), totaling 8 ways.

If Two Fair Dice, One Red and One White, Are