A husband and wife appear in an interview for | vedclass

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

Question

(D) Let $A$ be the event that the husband is selected and $B$ be the event that the wife is selected.Given: $P(A) = 1/7$ and $P(B) = 1/5$.The probabil

Vedclass · Accepted Answer

$11/35$

Vedclass · Answer

(D) Let $A$ be the event that the husband is selected and $B$ be the event that the wife is selected.Given: $P(A) = 1/7$ and $P(B) = 1/5$.The probability that the husband is not selected is $P(\bar{A}) = 1 - 1/7 = 6/7$.The probability that the wife is not selected is $P(\bar{B}) = 1 - 1/5 = 4/5$.The probability that at least one of them is selected is given by $1 - P(	ext{neither is selected})$.$P(	ext{at least one}) = 1 - P(\bar{A}) 	imes P(\bar{B})$.$P(	ext{at least one}) = 1 - (6/7 	imes 4/5) = 1 - 24/35$.$P(	ext{at least one}) = (35 - 24) / 35 = 11/35$.

$A$ husband and wife appear in an interview for $2$ vacancies in the same post. The probability of the husband's selection is $1/7$ and that of the wife's is $1/5$. What is the probability that at least one of them will be selected?

Similar Questions

$A$ bag contains $2$ red,$3$ green and $2$ blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?

Two numbers are selected at random from $1, 2, 3, \dots, 100$ and are multiplied. The probability, correct to two decimal places, that the product thus obtained is divisible by $3$ is:

Cards are drawn one by one without replacement from a pack of $52$ cards. The probability that $10$ cards will precede the first ace is

$A$ binary number is made up of $16$ bits. The probability of an incorrect bit appearing is $p$ and the errors in different bits are independent of one another. The probability of forming an incorrect number is

If four persons are chosen at random from a group of $3$ men,$2$ women,and $4$ children,then the probability that exactly two of them are children is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module