A man and his wife appear in an interview for | vedclass

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

Question

(B) Let $H$ be the event that the husband is selected and $W$ be the event that the wife is selected.Given $P(H) = 1/7$ and $P(W) = 1/5$.The probabili

Vedclass · Accepted Answer

$2/7$

Vedclass · Answer

(B) Let $H$ be the event that the husband is selected and $W$ be the event that the wife is selected.Given $P(H) = 1/7$ and $P(W) = 1/5$.The probability that the husband is not selected is $P(H') = 1 - 1/7 = 6/7$.The probability that the wife is not selected is $P(W') = 1 - 1/5 = 4/5$.The probability that only one of them is selected is $P(H \cap W') + P(H' \cap W)$.Since the events are independent,this is $P(H) 	imes P(W') + P(H') 	imes P(W)$.$= (1/7 	imes 4/5) + (6/7 	imes 1/5) = 4/35 + 6/35 = 10/35 = 2/7$.

$A$ man and his wife appear in an interview for two vacancies. The probability of the husband's selection is $1/7$ and the probability of the wife's selection is $1/5$. What is the probability that only one of them is selected?

Similar Questions

$A$ card is selected from a pack of $52$ cards. Calculate the probability that the card is an ace.

Events $E$ and $F$ are such that $P(\text{not } E \text{ and not } F) = 0.25$. State whether $E$ and $F$ are mutually exclusive.

If $X_1, X_2, \ldots, X_n$ are $n$ independent events such that $P(X_r) = \frac{1}{r+1}$ for $r = 1, 2, \ldots, n$,then the probability that none of the $n$ events occur is

Two dice are rolled one after the other. The probability that the number on the first die is smaller than the number on the second die is:

If any four numbers are selected,what is the probability that the last digit of their product will be $1, 3, 5$ or $7$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module