Total number of possible outcomes
=6×6=36Favourable outcomes that the sum is prime i.e 2, 3, 5, 7, 11 :
(1,1), (1,2), (2,1), (2,3), (3,2), (1,4), (4,1), (1,6), (6,1), (2,5), (5,2), (3,4), (4,3), (5,6), (6,5)
∴ Total no. of favourable outcomes = 15
∴ Required probability