Two dice are rolled together. Find the probability o f getting such numbers on two dice whose product Is perfect square.
Two dice are rolled together. Find the probability o f getting such numbers on two dice whose product Is perfect square.

Solution:

When two different dice are thrown, then total number of outcomes = 36. Let E be the event of getting the product of numbers, as a perfect square. These numbers are (1,1), (1,4), (2,2), (3,3), (4,1), (4,4), (5,5) and (6, 6).

Number of favorable outcomes = 8

Thus, the probability of getting the product of numbers, as a perfect square is ».