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Definition of Sets

There are thr...

Question

There are three boys and two girls. A committee of two is to be formed. Find the probability of events that the committee contains at least one girl:

A

\frac{3}{10}

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B

\frac{5}{10}

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C

\frac{7}{10}

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D

\frac{9}{10}

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Solution

The correct option is B $\frac{7}{10}$
Sample space $= 5 C_{2} = 10$
Committe of atleast $1$ girl $= 1$ (both girls)+ $2 \times 3$ (1 girl ) $= 7$
probability $= 7 / 10$

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