In a dance competition, there are two groups of performers, and one pair must be chosen from each group. The first group has four men and two women, while the second group contains three women and two men. What is the probability that one man will be selected from the first group and one woman will be selected from the second group?

Answer Choices

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1/10

2/5

Correct

2/9

1/4

1/3

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Explanation

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Official Explanation

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To find the probability of selecting one man from the first group and one woman from the second group, we first determine the total number of ways to select one man from the first group of four men and two women. The number of ways to choose one man from four is 4. The total number of performers in the first group is 6 (4 men + 2 women). Therefore, the probability of selecting a…

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Comments

PatrickFeb 14, 2025

thanks

PrasidhamApr 17, 2025

Thank you very much!

What this question tests

What it tests

Your ability to compute probabilities of single and compound events, including 'at least one' questions.

Common trap

Forgetting to use the complement for 'at least one', or treating dependent events as independent.