What is the probability of rolling an even number on two independent rolls?

• A. 1/4
• B. 1/2
• C. 1/3
• D. 1

Answer: (A)

Understanding independent events and how probabilities combine is what's being tested here. On a single fair die, even numbers are 2, 4, and 6, which is 3 favorable outcomes out of 6, so the chance of an even result on one roll is 3/6 = 1/2. For two independent rolls, you need both results to be even, so multiply the probabilities: (1/2) × (1/2) = 1/4. You can also see this by counting: there are 36 equally likely pairs of results, and 3 even options on each roll give 3 × 3 = 9 favorable pairs, which is 9/36 = 1/4. Therefore, the probability is 1/4.