If a fair die is rolled, what is the probability of rolling an even number?

The probability of rolling an even number on a fair six-sided die can be determined by identifying the total number of possible outcomes and the number of favorable outcomes. A standard die has the numbers 1 through 6. The even numbers within this range are 2, 4, and 6. Therefore, there are three favorable outcomes for rolling an even number.

To find the probability, you divide the number of favorable outcomes by the total number of outcomes. With three even numbers and six total numbers, the calculation is:

Probability of rolling an even number = Number of even outcomes / Total outcomes = 3/6.

When simplified, 3/6 reduces to 1/2. Thus, the correct answer indicates that there is a 50% chance of rolling an even number, making it the correct response to the question.