Out of 13 applicants for a job, there are 5 women and 8 men. It is desired to select 2 persons for j

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14.Probability

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Out of $13$ applicants for a job, there are $5$ women and $8$ men. It is desired to select $2$ persons for the job. The probability that at least one of the selected persons will be a woman is

A

$\frac{{25}}{{39}}$

B

$\frac{{14}}{{39}}$

C

$\frac{5}{{13}}$

D

$\frac{{10}}{{13}}$

Solution

(a) Required probability $ = \frac{{{}^5{C_1} \times {}^8{C_1}}}{{{}^{13}{C_2}}} + \frac{{{}^5{C_2}}}{{{}^{13}{C_2}}} = \frac{{25}}{{39}}.$

Standard 11

Mathematics

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