Question

Practice finding probabilities of compound events.
Mathew rolls a number cube labeled with the numbers 1−6. He then flips a fair coin. What is the probability that he rolls a 4 and flips a head? Write your answer as a fraction.

Answer 1

The roll and the coin flip are independent.
P(roll 4 and flip head) = P(roll 4) × P(head) = (1/6) × (1/2) = 1/12.