Question

A traditional number cube is rolled twice. What is the probability that the first roll lands on an even number, and the second roll lands on an odd number? Express your answer as a simplified fraction.

Answer 1

A standard die has 3 even faces and 3 odd faces, so P(first even) = 1/2 and P(second odd) = 1/2. The rolls are independent, so the probability is (1/2)(1/2) = 1/4.