Two dice are thrownand it is known that the first die shows a 6 Find the probability that the sum of the numbers showing on two dice is 7

Question

Philoid · Accepted Answer

Given: Two dice are thrown.

Let A be the event when the sum of the numbers = 7

Therefore, A = {(1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)}

Let B be the event when first dice shows 6

Therefore, B = {(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

A B = {(6, 1)}