A fair six-sided die is rolled once. What is the probability of rolling an even number?

• A. $\frac{1}{2}$
• B. $\frac{2}{3}$
• C. $\frac{1}{3}$
• D. $\frac{1}{6}$

Answer: (A)

Verified step by step guidance

1. Identify the total number of possible outcomes when rolling a fair six-sided die. Since the die has six faces, the total number of outcomes is 6.
2. Determine the favorable outcomes for rolling an even number. The even numbers on a six-sided die are 2, 4, and 6, so there are 3 favorable outcomes.
3. Recall that the probability of an event is given by the ratio of favorable outcomes to total outcomes, expressed as \(\text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\).
4. Substitute the values into the probability formula: \(\text{Probability} = \frac{3}{6}\).
5. Simplify the fraction \(\frac{3}{6}\) to its lowest terms to find the probability of rolling an even number.