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 $^{13}C_2 = \frac{13 	imes 12}{2 	imes 1} = 78$. The probability that at least one wom

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$\frac{25}{39}$

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(A) Total number of ways to select $2$ persons out of $13$ is $^{13}C_2 = \frac{13 	imes 12}{2 	imes 1} = 78$. The probability that at least one woman is selected is $1 - P(	ext{no woman is selected})$. If no woman is selected,both persons must be men. The number of ways to select $2$ men out of $8$ is $^8C_2 = \frac{8 	imes 7}{2 	imes 1} = 28$. So,$P(	ext{no woman}) = \frac{28}{78} = \frac{14}{39}$. Therefore,the probability that at least one woman is selected is $1 - \frac{14}{39} = \frac{25}{39}$.

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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