Out of 13 applicants for a job,there are 5 wo | vedclass

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(A) Total number of ways to select $2$ persons out of $13$ is ${}^{13}C_2 = \frac{13 	imes 12}{2 	imes 1} = 78$.We want the probability that at leas

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$\frac{25}{39}$

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(A) Total number of ways to select $2$ persons out of $13$ is ${}^{13}C_2 = \frac{13 	imes 12}{2 	imes 1} = 78$.We want the probability that at least one woman is selected.This can happen in two ways: selecting $1$ woman and $1$ man,or selecting $2$ women.Number of ways to select $1$ woman and $1$ man = ${}^5C_1 	imes {}^8C_1 = 5 	imes 8 = 40$.Number of ways to select $2$ women = ${}^5C_2 = \frac{5 	imes 4}{2 	imes 1} = 10$.Total favorable outcomes = $40 + 10 = 50$.Probability = $\frac{50}{78} = \frac{25}{39}$.

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

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