There are $n$ students in a class. Of them, $k$ boys and $k$ girls (including Harvey and Jessica) are selected for

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by AAPL » Wed Oct 11, 2023 8:44 am

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There are $n$ students in a class. Of them, $k$ boys and $k$ girls (including Harvey and Jessica) are selected for a dance performance in which students will dance in pairs of one boy and one girl. What is the probability that Harvey will be paired with Jessica?

1. Other than Harvey, $5$ boys are selected for the dance

2. $8$ of the $k$ boys are not selected for the dance

OA A

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Source: Beat The GMAT — Data Sufficiency | Wed Oct 11, 2023 8:44 am

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