A black and a red die are rolled together. Find the conditional probability of obtaining the sum 6, given that the red die resulted in a number less than 3.

1/9 1/12 2/36 1/6

1/6

A : sum 8, i.e. (1,5), (2, 4), (3, 3), (5, 1), (4, 2) B : red die number less than 3. B : (1, 1), (2, 1), (3, 1), (4, 1), (5, 1), (6, 1), (1, 2), (2, 2), (3, 2), (4, 2), (5, 2), (6, 2), A ∩ B : (4, 2), (5, 1)