Test Index

Probability

Question : 99 of 127

Marks: +1, -0

Solution:

Concept:

Probability = (favorable outcomes) / (total outcomes).

Explanation:

Total persons = 4 men + 3 women + 2 boys = 9.

Number of ways to select 3 persons from 9 =

\binom{9}{3} = 84

Favorable: exactly 2 men selected.

Choose 2 men from 4:

\binom{4}{2} = 6

Choose the third person from the remaining 5 (3 women + 2 boys):

\binom{5}{1} = 5

Favorable ways =

6 \times 5 = 30

Probability =

\frac{30}{84} = \frac{5}{14} = \frac{10}{28}

Answer:

\frac{10}{28}

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