A fair die is rolled. What is the probability of rolling a 6?

A fair die is rolled. What is the probability of rolling a 6?

• A. 5/6
• B. 1/2
• C. 1/4
• D. 1/6

Answer: (D)

Probability is the number of favorable outcomes over the total number of equally likely outcomes. A fair six-sided die has six possible results, and only one of them is a 6. So the chance of rolling a 6 is 1 out of 6, written as 1/6 (about 0.1667). The other values don’t fit because they’d require more or fewer favorable outcomes: 5/6 would mean not rolling a 6, 1/2 would need three favorable faces, and 1/4 would imply a non‑whole number of favorable faces, which isn’t possible.

Probability is the number of favorable outcomes over the total number of equally likely outcomes. A fair six-sided die has six possible results, and only one of them is a 6. So the chance of rolling a 6 is 1 out of 6, written as 1/6 (about 0.1667). The other values don’t fit because they’d require more or fewer favorable outcomes: 5/6 would mean not rolling a 6, 1/2 would need three favorable faces, and 1/4 would imply a non‑whole number of favorable faces, which isn’t possible.