61. A die is rolled. What is the probability of getting a 5?
Answer: C
The probability of getting a 5 when a die is rolled is 16.60%.
When a standard die is rolled, there are six possible outcomes, each equally likely. The probability of rolling a 5 is therefore 1 out of 6, which is approximately 16.60%.
A) 50%
This option is incorrect because a probability of 50% would imply that there are only two outcomes possible, leading to a significant overestimation of the likelihood of rolling a 5 on a six-sided die.
B) 20%
This option is also incorrect. A probability of 20% suggests that there are five outcomes that could lead to rolling a 5, which does not correspond to the structure of a standard six-sided die.
C) 16.60%
This is the correct choice. The probability of rolling a 5 is calculated as the favorable outcome (rolling a 5) divided by the total possible outcomes (6), which gives us 1/6 or approximately 16.60%.
D) 83.30%
This option is incorrect as it indicates an unrealistic probability that suggests the likelihood of rolling a 5 is much higher than it actually is. Such a high probability does not align with the total number of outcomes on a die.
Conclusion
The correct answer of 16.60% accurately reflects the probability of rolling a 5 on a standard six-sided die, where only one outcome out of six is favorable. All other options either misrepresent the total number of outcomes or incorrectly calculate the probability, demonstrating a misunderstanding of basic probability principles.