From a class of 12 girls and 18 boys, two students are chosen randomly. probability that both of the

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14.Probability

easy

From a class of $12$ girls and $18$ boys, two students are chosen randomly. What is the probability that both of them are girls

A

$\frac{{22}}{{145}}$

B

$\frac{{13}}{{15}}$

C

$\frac{1}{{18}}$

D

None of these

Solution

(a) Required probability $=\frac{{{}^{12}{C_2}}}{{{}^{30}{C_2}}} = \frac{{12 \times 11}}{{30 \times 29}} = \frac{{22}}{{145}}.$

Standard 11

Mathematics

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