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

Rationale

The probability of rolling an odd number on a die is 50%.

A standard die has six faces, three of which represent odd numbers (1, 3, and 5). Therefore, the probability of rolling an odd number is calculated by taking the number of favorable outcomes (3 odd numbers) divided by the total outcomes (6 faces), resulting in a probability of 3/6, which simplifies to 50%.

A (50%) CORRECT

This option correctly identifies that there are three odd numbers on a standard die, leading to a probability of 3 out of 6 possible outcomes, which simplifies to 50%.

B (75%) YOUR ANSWER

This choice incorrectly suggests that a higher proportion of the die's faces show odd numbers. Since only three faces are odd, the probability cannot exceed 50%, making this option inaccurate.

C (16.70%) YOUR ANSWER

This percentage miscalculates the probability by assuming a much smaller likelihood of rolling an odd number. It does not align with the actual distribution of outcomes on a die, where the likelihood of rolling an odd number is significantly higher.

D (33%) YOUR ANSWER

This option reflects a misunderstanding of the total outcomes on a die. A probability of 33% would imply that only two odd numbers exist, which is not the case. With three odd numbers available, the correct probability cannot be this low.

Conclusion

The correct probability of rolling an odd number on a standard die is 50%, derived from the fact that three out of the six faces show odd numbers. The other options misrepresent the outcomes available on the die, demonstrating a fundamental misunderstanding of probability calculations related to discrete events.

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

The probability of rolling an odd number on a die is 50%.

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