If two unbiased dice are rolled then the probability of getting a prime score is

When two dice are rolled, the number of possible outcomes is 62=36  ⇒n(S)=62=36 Suppose that E be the event of getting prime score, The possible outcomes are getting 2 means getting (1,1). getting 3 means getting (1,2), (2,1)  Getting 5 means getting (1,4),(2,3), (3,2), (4,1), Getting 7 means getting (1,6), (2,5), (3,4), (4,3), (5,2), (6,1)  Getting 11 means getting (5,6), (6,5)  Hence, n(E) = 1+2+4+6+2 = 15 waysn(E)=15 waysTherefore, the probability is P(E)=15 36 = 512