If you roll a die, what is the probability of rolling an even number?

• A. 1/3
• B. 1/2
• C. 1/4
• D. 1/6

Answer: (B)

To determine the probability of rolling an even number on a standard six-sided die, we first identify the total number of outcomes when rolling the die. A standard die has six faces, numbered 1 through 6.

Now, we specify what constitutes an even number in this context. The even numbers on the die are 2, 4, and 6. There are three favorable outcomes (2, 4, and 6) that meet the criteria of being even.

The probability is calculated using the formula:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes).

In this case, the number of favorable outcomes is 3 (the even numbers), and the total number of possible outcomes is 6 (all the faces of the die).

Thus, we have:

Probability = 3 / 6.

This simplifies to 1 / 2.

Therefore, the correct answer is indeed a probability of rolling an even number, which is represented as 1/2. This reflects the concept that half of the outcomes from rolling the die result in an even number.