Question 17

The probability of getting a 5 when rolling a die is 16.67%.

When a standard six-sided die is rolled, there is one favorable outcome (rolling a 5) out of six possible outcomes. This results in a probability of 1/6, which is approximately 16.67%.

A) 50%

Option A is incorrect because a probability of 50% would imply that two out of the six faces show a 5, which is not the case. There is only one face with a 5 on a standard die, making this option inaccurate.

B) 20%

Option B is also incorrect because a probability of 20% would suggest that one out of every five rolls results in a 5. Since there are six faces on the die, this option does not accurately reflect the true probability.

C) 16.67%

This option is correct as it accurately represents the probability of rolling a 5 on a six-sided die, which is calculated as 1 favorable outcome divided by 6 total outcomes, equating to approximately 16.67%.

D) 83.33%

Option D is incorrect because a probability of 83.33% would imply that nearly all rolls yield a 5, which is not true. There is only a single face with a 5, making this option significantly higher than the actual probability.

Conclusion

The correct answer, 16.67%, precisely reflects the likelihood of rolling a 5 on a standard six-sided die. All other options fail to represent the true probability, either significantly overestimating or underestimating the chances based on the number of favorable outcomes relative to the total possible outcomes.