The probability that a man will be alive 25 y | 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 man is alive and $B$ be the event that the wife is alive after $25$ years.
Given: $P(A) = 0.3$ and $P(B) = 0.4$.
T

Vedclass · Accepted Answer

$0.58$

Vedclass · Answer

(D) Let $A$ be the event that the man is alive and $B$ be the event that the wife is alive after $25$ years.
Given: $P(A) = 0.3$ and $P(B) = 0.4$.
The probability that the man is not alive is
$P(\bar{A}) = 1 - 0.3 = 0.7$.
The probability that the wife is not alive is
$P(\bar{B}) = 1 - 0.4 = 0.6$.
The probability that at least $1$ of them will be alive is given by
$1 - P(	ext{none of them is alive})$.
Since the events are independent,
$P(\bar{A} \cap \bar{B}) = P(\bar{A}) 	imes P(\bar{B}) = 0.7 	imes 0.6 = 0.42$.
Therefore, the required probability
$= 1 - 0.42 = 0.58$.

The probability that a man will be alive $25$ years hence is $0.3$ and the probability that his wife will be alive $25$ years hence is $0.4$. Find the probability that $25$ years hence, at least $1$ of them will be alive.

Similar Questions

From a well-shuffled pack of $52$ cards,one card is drawn at random. The probability that the card drawn is an ace is

The probability that a man will be alive $25$ years hence is $0.3$ and the probability that his wife will be alive $25$ years hence is $0.4$. Find the probability that $25$ years hence,only the man will be alive.

For any event $A$,which of the following is true?

$A$ basket contains $4$ red,$5$ blue,and $3$ green marbles. If three marbles are picked at random,what is the probability that either all are green or all are red?

In a box,there are $8$ red,$7$ blue and $6$ green balls. One ball is picked up at random. What is the probability that it is neither red nor green?

Vedclass Test Series

Exam Paper Generator

Online Exam Module