In a clinic, Sarah and Tom are among 5 other staff members. During a staff evaluation, 2 out of the 7 employees will be randomly selected for interviews. What is the likelihood that both Sarah and Tom will be selected?

Correct answer marked below

1/15

2/21

1/21

Correct

1/42

1/62

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Explanation

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Official Explanation

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The total number of employees is 7. The probability of selecting Sarah first and then Tom is

\frac{1}{7}

*\frac{1}{6}

=\frac{1}{42}

. The probability of selecting Tom first and then Sarah is…

Comments

KrishanuJan 12, 2025

Thankss

JuanJan 2, 2024

good question

What this question tests

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

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