Die probability: If a fair six-sided die is rolled, what is the probability of rolling an even number?

Die probability: If a fair six-sided die is rolled, what is the probability of rolling an even number?

• A. 1/4
• B. 2/3
• C. 3/4
• D. 1/2

Answer: (D)

When a die is fair, every face is equally likely, so the chance of an event is the number of favorable outcomes divided by the total number of outcomes. The even results on a six‑sided die are 2, 4, and 6 — three favorable outcomes out of six possible outcomes. So the probability is 3/6, which simplifies to 1/2 (0.5). The other fractions would require more or fewer favorable outcomes than the actual three even faces, so they don’t match the situation.

When a die is fair, every face is equally likely, so the chance of an event is the number of favorable outcomes divided by the total number of outcomes. The even results on a six‑sided die are 2, 4, and 6 — three favorable outcomes out of six possible outcomes. So the probability is 3/6, which simplifies to 1/2 (0.5). The other fractions would require more or fewer favorable outcomes than the actual three even faces, so they don’t match the situation.