Question

17. If two dice are thrown at the same time, find the probability of getting sum of
the dots on top is prime.
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Answer 1

No. of favourable outcomes n(A) = 14

No. of total outcomes n(S) = 36

Probability to get sum of prime numbers on top ===> n(A) / n(S)

===> 15 / 36

Answer 2

Favourable Outcomes = (1,1)(1,2)(1,4)(1,6)(2,1)(2,3)(2,5)(3,2)(3,4)(4,1)(4,3)(5,2)(5,6)(6,1)(6,5)

Therefore, P = 15/36 = 5/12