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

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(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

Vedclass · Accepted Answer

$\frac{25}{39}$

Vedclass · Answer

(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

Similar Questions

Cards are drawn one by one at random from a well-shuffled full pack of $52$ cards until two aces are obtained for the first time. If $N$ is the number of cards required to be drawn,then $P(N = n)$,where $2 \le n \le 50$,is

If six students,including two particular students $A$ and $B,$ stand in a row,then the probability that $A$ and $B$ are separated with one student in between them is

Four numbers are chosen at random from $\{1, 2, 3, \ldots, 40\}$. The probability that they are not consecutive is:

Three numbers are chosen at random from numbers $1$ to $20$. The probability that they are consecutive is

$A$ bag contains $3$ red,$7$ white and $4$ black balls. If three balls are drawn from the bag,then the probability that all of them are of the same colour is

Vedclass Test Series

Exam Paper Generator

Online Exam Module