A die is rolled. What is the probability of getting a 5?

Rationale

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

A standard die has six faces, each representing a different number from 1 to 6. The probability of rolling any specific number, including 5, is calculated by dividing the number of favorable outcomes (which is 1 for rolling a 5) by the total number of possible outcomes (which is 6). This results in a probability of 1/6, or approximately 16.60%.

A (50%) YOUR ANSWER

A probability of 50% would imply that there are only two equally likely outcomes, suggesting that rolling a 5 is as likely as rolling some other number. However, with six faces on a die, this is incorrect as it does not reflect the actual distribution of outcomes.

B (20%) YOUR ANSWER

A probability of 20% suggests that there are five equally likely outcomes for rolling a 5, which is inaccurate. In reality, there is only one favorable outcome out of six possible outcomes, leading to a probability of 1/6, not 1/5.

C (16.60%) CORRECT

This choice correctly represents the probability of rolling a 5 on a standard die. Calculating it gives 1 favorable outcome (rolling a 5) divided by 6 total outcomes, resulting in a probability of approximately 16.60%.

D (83.30%) YOUR ANSWER

A probability of 83.30% would imply that rolling a 5 is highly likely, almost certain, which is not the case. This value would suggest that there are five favorable outcomes to rolling a 5, which contradicts the basic principle of equal likelihood among all six faces of the die.

Conclusion

When rolling a standard die, the probability of landing on any specific number, including 5, is determined by the ratio of favorable outcomes to total outcomes. With only one way to roll a 5 and six possible outcomes, the correct probability is 16.60%. Other options misrepresent the probabilities based on incorrect assumptions about the number of outcomes.

A die is rolled. What is the probability of getting a 5?

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

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