Two dice are rolled together. Find the probability of getting such numbers on two dice whose product is a perfect square.

Answer

` 2/9`

Explanation

Number of all possible outcomes is 36.
Let E be the event of getting the product of numbers on the two dice, as a perfect square.
Then, the favourable outcomes are
(1,1),(1,4),(4,1),(2,2),(3,3),(4,4),(5,5),(6,6).
Number of favourable outcomes = 8.
` :. P(E ) = 8/ 36 = 2/9`.