Two dice are rolled once. Find the probability of getting such numbers on two dice whose product is a perfect square.
Total Number of elementary events are = 36
Let E be the event of getting two numbers whose product is a perfect square.
The favourable outcomes are (1, 1), (1, 4), (4, 1), (2, 2), (3, 3), (4, 4), (5, 5) and (6, 6).
The number of favourable outcomes = 8.
∴ P (getting numbers whose product is a perfect square) = P (E) = 8/36 = 2/9