One side of a 6-sided die is numbered 4, 9, 12, 16, 20, and 24. What is the probability of rolling an even number?

Rationale

The probability of rolling an even number on the die is 5/6.

The even numbers on the die are 4, 12, 20, and 24, totaling four even outcomes out of six possible outcomes. Therefore, the probability of rolling an even number can be calculated as the ratio of even outcomes to total outcomes, which simplifies to 4/6 or 2/3.

A (5/6) CORRECT

This choice incorrectly suggests that the probability of rolling an even number is higher than the actual count of even outcomes available. With only four even numbers (4, 12, 20, 24) among six total sides, the probability cannot exceed 2/3.

B (3/4) YOUR ANSWER

This option miscalculates the probability by assuming there are more even outcomes than there actually are. With only four even numbers present, the resulting probability of 3/4 does not correctly reflect the ratio of even outcomes compared to the total sides of the die.

C (2/3) YOUR ANSWER

While this choice correctly identifies the ratio of even outcomes to total outcomes, it fails to reflect the correct answer since the actual calculation shows 4 out of 6, which simplifies to 2/3. However, this should be noted as the true probability of rolling an even number.

D (1/3) YOUR ANSWER

This choice significantly underestimates the number of even outcomes, suggesting that only two sides of the die are even. Given the actual count of four even numbers, this probability does not accurately represent the likelihood of rolling an even number.

Conclusion

The probability of rolling an even number on the specified die is determined by the favorable outcomes of 4, 12, 20, and 24, yielding a correct probability of 2/3. The incorrect options misrepresent this probability by either overestimating or underestimating the available even outcomes, emphasizing the necessity of accurate counting in probability assessments.

One side of a 6-sided die is numbered 4, 9, 12, 16, 20, and 24. What is the probability of rolling an even number?

The probability of rolling an even number on the die is 5/6.

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