JIPMAT 2025 (QA) - Four persons are chosen at random from a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children is: | PYQs + Solutions

JIPMAT 2025

Modern Math

Probability

Hard

Four persons are chosen at random from a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children is:

\frac{1}{9}

\frac{2}{9}

\frac{1}{12}

\frac{10}{21}

✅ Correct Option: 4

Total number of ways to choose

4

people from 9:

^{9}C_{4}=126

Favorable outcomes = selecting

2

children and

2

others (from adults:

3

men +

2

women =

5

adults)

\newline

Ways to choose

2

children from 4:

^{4}C_{2}=6

\newline

Ways to choose

2

adults from

5

^{5}C_{2}=10

\newline

Total favorable

=6 \times 10=60

Probability

= \frac{60}{126}=\frac{10}{21}

Hence, the correct option is Option 4.

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JIPMAT 2025 (QA) PYQs

Four persons are chosen at random from a group of 3 men, 2 women and 4 children. The chance that exactly 2 of them are children is:

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