A man and his wife appear for an interview fo | 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: $P(H) = \frac{1}{7}$ and $P(W) = \frac{1}{

Vedclass · Accepted Answer

$\frac{2}{7}$

Vedclass · Answer

(B) Let $H$ be the event that the husband is selected and $W$ be the event that the wife is selected.Given: $P(H) = \frac{1}{7}$ and $P(W) = \frac{1}{5}$.Probability that the husband is not selected: $P(H') = 1 - \frac{1}{7} = \frac{6}{7}$.Probability that the wife is not selected: $P(W') = 1 - \frac{1}{5} = \frac{4}{5}$.Only one of them is selected if (husband is selected $AND$ wife is not) $OR$ (wife is selected $AND$ husband is not).Probability = $P(H) 	imes P(W') + P(W) 	imes P(H')$.Probability = $(\frac{1}{7} 	imes \frac{4}{5}) + (\frac{1}{5} 	imes \frac{6}{7})$.Probability = $\frac{4}{35} + \frac{6}{35} = \frac{10}{35} = \frac{2}{7}$.

$A$ man and his wife appear for an interview for two posts. The probability of the husband's selection is $\frac{1}{7}$ and that of the wife's selection is $\frac{1}{5}$. What is the probability that only one of them will be selected?

Similar Questions

If $A$ is a sure event,then the value of $P(A^c)$ is

$A$ number is chosen at random from the first ten natural numbers. The probability that the number is odd and a perfect square is

The probability of getting heads in all the three trials,when a balanced coin is tossed thrice,is

In a single throw of two dice,what is the probability of obtaining a sum of numbers greater than $7$,given that $4$ appears on the first die?

An $URN$ contains $6$ blue,$4$ red,$3$ green and $2$ yellow marbles. If two marbles are picked at random,what is the probability that either both are yellow or both are green?

Vedclass Test Series

Exam Paper Generator

Online Exam Module