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 Favourable outcomes = 8
∴ P(getting the product of numbers, as a perfect square) =
=
Thus, the probability of getting the product of numbers, as a perfect square is .