Question

Two unbiased dice are rolled once. Find the probability of getting the product as a prime number

Answer 1

Sample space = {(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

n(S) = 36

Let B be the event of getting a product is a prime number.

B = {(1, 2) (1, 3) (1, 5) (2, 1) (3, 1) (5, 1)}

n(B) = 6

P(B) = `("n"("B"))/("n"(S")) = 6/36 = 1/6`