One bag contains 4 white balls and 2 black ba | vedclass

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

Question

(A) Let $E_1$ be the event of drawing a white ball from the first bag and $E_2$ be the event of drawing a white ball from the second bag.The first bag

Vedclass · Accepted Answer

$\frac{1}{4}$

Vedclass · Answer

(A) Let $E_1$ be the event of drawing a white ball from the first bag and $E_2$ be the event of drawing a white ball from the second bag.The first bag contains $4$ white balls and $2$ black balls,so the total number of balls is $4 + 2 = 6$.The probability of drawing a white ball from the first bag is $P(E_1) = \frac{4}{6} = \frac{2}{3}$.The second bag contains $3$ white balls and $5$ black balls,so the total number of balls is $3 + 5 = 8$.The probability of drawing a white ball from the second bag is $P(E_2) = \frac{3}{8}$.Since the events are independent,the probability that both balls are white is $P(E_1 \cap E_2) = P(E_1) 	imes P(E_2)$.$P(E_1 \cap E_2) = \frac{2}{3} 	imes \frac{3}{8} = \frac{6}{24} = \frac{1}{4}$.

One bag contains $4$ white balls and $2$ black balls; another contains $3$ white balls and $5$ black balls. If one ball is drawn from each bag,find the probability that both are white.

Similar Questions

$A$ bag contains $7$ black and $5$ white balls. $A$ ball is drawn out and replaced in the bag. Then a ball is drawn again. What is the probability that the first ball was black and the second white?

$A$ committee consists of $9$ experts taken from three institutions $A, B$ and $C$,of which $2$ are from $A, 3$ from $B$ and $4$ from $C$. If three experts resign,then the probability that they belong to different institutions is

$A$ bag contains $3$ red,$4$ white and $5$ black balls. Three balls are drawn at random. The probability of the balls being of different colours is

The probability of getting a total of $5$ or $6$ in a single throw of $2$ dice is

If a number of two digits is formed with the digits $2, 3, 5, 7, 9$ without repetition of digits,what is the probability that the number formed is $35$?

Vedclass Test Series

Exam Paper Generator

Online Exam Module