A problem of mathematics is given to three st | vedclass

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

Question

(D) Let $A, B,$ and $C$ be the events that the three students solve the problem respectively.Given probabilities are $P(A) = \frac{1}{3}$,$P(B) = \fra

Vedclass · Accepted Answer

$\frac{3}{5}$

Vedclass · Answer

(D) Let $A, B,$ and $C$ be the events that the three students solve the problem respectively.Given probabilities are $P(A) = \frac{1}{3}$,$P(B) = \frac{1}{4}$,and $P(C) = \frac{1}{5}$.The probability that they do not solve the problem are $P(A') = 1 - \frac{1}{3} = \frac{2}{3}$,$P(B') = 1 - \frac{1}{4} = \frac{3}{4}$,and $P(C') = 1 - \frac{1}{5} = \frac{4}{5}$.The probability that the problem is not solved by any of them is $P(A' \cap B' \cap C') = P(A') 	imes P(B') 	imes P(C') = \frac{2}{3} 	imes \frac{3}{4} 	imes \frac{4}{5} = \frac{2}{5}$.Therefore,the probability that the problem is solved is $1 - P(A' \cap B' \cap C') = 1 - \frac{2}{5} = \frac{3}{5}$.

Box	White	Black
$B_1$	$1$	$2$
$B_2$	$3$	$1$
$B_3$	$2$	$3$

$A$ problem of mathematics is given to three students whose chances of solving the problem are $\frac{1}{3}$,$\frac{1}{4}$,and $\frac{1}{5}$ respectively. The probability that the question will be solved is

Similar Questions

Boxes $B_1, B_2$,and $B_3$ contain balls as given below:
Box White Black
$B_1$ $1$ $2$
$B_2$ $3$ $1$
$B_3$ $2$ $3$

One ball is drawn at random from each box. Then,among the balls drawn,the probability that two are black and one is white,is

An experiment consists of tossing a coin and then throwing it a second time if a head occurs. If a tail occurs on the first toss,then a die is rolled once. Find the sample space.

The probability of obtaining an even prime number on each die,when a pair of dice is rolled,is . . . . . . .

Assume that Sachin Tendulkar gets out only in an odd-numbered over in a $50$-over one-day international cricket match. Find the probability that he gets out in an over that is a multiple of $9$.

One die and a coin (both unbiased) are tossed simultaneously. The probability of getting $5$ on the top of the die and tail on the coin is

Vedclass Test Series

Exam Paper Generator

Online Exam Module