Question 16

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

When rolling a standard six-sided die, there are three odd numbers: 1, 3, and 5. Since there are a total of six possible outcomes, the probability of rolling an odd number is calculated as the number of odd outcomes divided by the total outcomes, which is 3/6 or 50%.

A) 50%

This option is correct because it accurately reflects the ratio of odd numbers to the total numbers on a die. With three odd numbers out of six possible outcomes, the probability is indeed 50%.

B) 75%

This option is incorrect. It suggests that the probability of rolling an odd number is three-quarters, which would imply there are more odd outcomes than even, contrary to the actual distribution on a standard die where half the numbers are odd.

C) 16.70%

This option is also incorrect. It represents a much lower probability than what is accurate for rolling an odd number. This percentage does not correspond to any reasonable calculation of odd outcomes on a standard die.

D) 33%

This option is incorrect as well. A probability of 33% would imply one out of three outcomes is odd, which does not apply here since there are three odd outcomes (1, 3, and 5) out of a total of six.

Conclusion

The correct answer is 50%, as it correctly represents the probability of rolling an odd number on a standard six-sided die. All other options fail to accurately reflect the ratio of odd numbers to the total outcomes, misleadingly suggesting either a higher or lower likelihood than actually exists.