What is the probability of obtaining an even number when rolling a standard six-sided die?

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Prepare for the AMSOC 26-003 Module A Test. Utilize flashcards and multiple choice questions with hints and explanations. Ace your exam!

Multiple Choice

What is the probability of obtaining an even number when rolling a standard six-sided die?

Explanation:
Rolling a fair six-sided die gives six equally likely outcomes, the numbers 1 through 6. To find the chance of an event, count how many outcomes meet the event and divide by the total number of outcomes. The even faces are 2, 4, and 6—three favorable outcomes. So the probability is 3 out of 6, which simplifies to 1/2. That’s why the answer is 1/2. The other options don’t fit this count: two even numbers would give 1/3, four even numbers would give 2/3, and one favorable outcome would give 1/6.

Rolling a fair six-sided die gives six equally likely outcomes, the numbers 1 through 6. To find the chance of an event, count how many outcomes meet the event and divide by the total number of outcomes. The even faces are 2, 4, and 6—three favorable outcomes. So the probability is 3 out of 6, which simplifies to 1/2. That’s why the answer is 1/2. The other options don’t fit this count: two even numbers would give 1/3, four even numbers would give 2/3, and one favorable outcome would give 1/6.

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