A fair die is rolled. What is the probability of rolling an even number?

A fair die is rolled. What is the probability of rolling an even number?

• A. 1/3
• B. 1/2
• C. 2/3
• D. 1

Answer: (B)

Probability is found by comparing how many outcomes satisfy the event to the total number of possible outcomes. A fair six-sided die has six equally likely faces. The even numbers are 2, 4, and 6, giving three favorable outcomes. So the probability is 3 out of 6, which simplifies to 1/2. That means a 50% chance of rolling an even number. The other fractions would correspond to having a different number of even faces (two evens would be 2/6 = 1/3; four evens would be 4/6 = 2/3), which doesn’t match the actual three even faces.

Probability is found by comparing how many outcomes satisfy the event to the total number of possible outcomes. A fair six-sided die has six equally likely faces. The even numbers are 2, 4, and 6, giving three favorable outcomes. So the probability is 3 out of 6, which simplifies to 1/2. That means a 50% chance of rolling an even number. The other fractions would correspond to having a different number of even faces (two evens would be 2/6 = 1/3; four evens would be 4/6 = 2/3), which doesn’t match the actual three even faces.