Question 61

The probability of getting a 5 when rolling a die is 16.60%.

When a standard six-sided die is rolled, there is one favorable outcome (rolling a 5) out of a total of six possible outcomes (1, 2, 3, 4, 5, 6). This gives a probability of 1/6, which is approximately 16.60%.

A) 50%

This option is incorrect because a 50% probability would imply that there are two favorable outcomes out of four possible outcomes, which does not apply to a standard six-sided die. There is only one outcome that results in a 5.

B) 20%

This option is also incorrect as it suggests that there is a 20% chance of rolling a 5. This would mean that one out of five outcomes is favorable, which is not accurate for a six-sided die.

C) 16.60%

This option is correct. The probability of rolling a 5 on a six-sided die is calculated as 1 favorable outcome out of 6 possible outcomes, leading to a probability of 1/6, which converts to approximately 16.60%.

D) 83.30%

This option is incorrect because an 83.30% probability would imply that there are five favorable outcomes out of six, which contradicts the fact that only one face of the die shows a 5.

Conclusion

The correct answer is 16.60%, as it accurately represents the probability of rolling a 5 on a six-sided die. All other options misrepresent the ratio of favorable outcomes to total outcomes, demonstrating a misunderstanding of basic probability principles.