Total numbers of elementary events are: 6 x 6 = 36

Let E be the event of getting such number on the two dice whose product is a perfect square

The favourable combinations are: (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6), (1, 4), (4, 1)

Then, the numbers of favourable combinations = 8

∴ P (getting such number on the two dice whose product is a perfect square)

= P (E) = 8/36 = 2/9