probability

The probability of getting the sum of scores as prime number= 16/36
Since the possible outcomes are:
(1,1),(1,2),(1,5),(1,6),(2,1),(2,3),(2,5),(3,2),(3,4),(3,5),(4,1),(4,3),(5,2),(5,6),(6,1),(6,5).

The probability of getting the sum of scores as perfect square= 7/36
Since the possible outcomes are:
(2,2),(1,3),(3,1),(3,6),(4,5),(5,4),(6,3)

So, the required probability is = 16/36+7/36= 23/36.