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
1. 1/9
2. 2/9
3. 1/3
4. 4/9

Answer 1

Correct Answer - Option 2 : 2/9

Two dice are thrown simultaneously.

Total number of possibilities = 6² = 36

The possible perfect squares = 1, 4, 9, 16, 25, 36

Possible outcomes to get the product as 1 = (1, 1)

Possible outcomes to get the product as 4 = (1, 4), (4, 1), (2, 2)

Possible outcomes to get the product as 9 = (3, 3)

Possible outcomes to get the product as 16 = (4, 4)

Possible outcomes to get the product as 25 = (5, 5)

Possible outcomes to get the product as 36 = (6, 6)

Total number of possibilities = 8

Probability = 8/36 = 2/9