If 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 16.67%.

When a standard six-sided die is rolled, there is one favorable outcome (rolling a 5) out of six possible outcomes (1, 2, 3, 4, 5, and 6). This gives a probability of 1/6, which converts to approximately 16.67%.

A (50%) YOUR ANSWER

A probability of 50% would imply that there are two favorable outcomes out of four possible outcomes. Since a die has six faces, this option misrepresents the actual number of favorable outcomes and possible outcomes, leading to an incorrect calculation.

B (20%) YOUR ANSWER

A probability of 20% would mean that there is one favorable outcome out of five possible outcomes. However, since there are six faces on a die, this does not accurately reflect the situation, as it does not take into account all possible outcomes.

C (16.67%) CORRECT

This choice accurately represents the probability of rolling a 5 on a six-sided die. The calculation is based on the ratio of the number of favorable outcomes (1) to the total number of possible outcomes (6), resulting in the fraction 1/6, which is approximately 16.67%.

D (83.33%) YOUR ANSWER

A probability of 83.33% would imply that there are five favorable outcomes out of six possible outcomes. This is incorrect because there is only one favorable outcome for rolling a 5, thus misrepresenting the actual situation.

Conclusion

The probability of rolling a 5 on a standard six-sided die is accurately represented by the option of 16.67%. This probability arises from the single favorable outcome (rolling a 5) over the total outcomes (six faces of the die). The other choices either miscalculate the favorable outcomes or the total possible outcomes, leading to incorrect probabilities. Understanding probabilities is essential in various applications, such as games of chance and statistical analysis.

If a die is rolled, what is the probability of getting a 5?

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

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