37Probability of independent events

A coin is tossed and a fair six-sided die is rolled. What is the probability of getting heads and an even number?

Since the coin and die don't affect each other, multiply their separate chances: P(heads) = 1/2 and P(even) = 1/2, giving 1/2 × 1/2 = 1/4. Checking by listing outcomes (like H2, H4, H6 out of 12 total) confirms 3/12 = 1/4.