A bag x contains 3 white balls and 2 black ba | vedclass

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

Question

(B) Let $E$ be the event that the ball is white.Let $B_1$ be the event of choosing bag $x$ and $B_2$ be the event of choosing bag $y$.Since a bag is p

Vedclass · Accepted Answer

$7/15$

Vedclass · Answer

(B) Let $E$ be the event that the ball is white.Let $B_1$ be the event of choosing bag $x$ and $B_2$ be the event of choosing bag $y$.Since a bag is picked at random,$P(B_1) = P(B_2) = \frac{1}{2}$.Probability of picking a white ball from bag $x$ is $P(E|B_1) = \frac{3}{3+2} = \frac{3}{5}$.Probability of picking a white ball from bag $y$ is $P(E|B_2) = \frac{2}{2+4} = \frac{2}{6} = \frac{1}{3}$.Using the law of total probability,$P(E) = P(B_1)P(E|B_1) + P(B_2)P(E|B_2)$.$P(E) = \frac{1}{2} 	imes \frac{3}{5} + \frac{1}{2} 	imes \frac{1}{3} = \frac{3}{10} + \frac{1}{6} = \frac{9+5}{30} = \frac{14}{30} = \frac{7}{15}$.

$A$ bag $x$ contains $3$ white balls and $2$ black balls and another bag $y$ contains $2$ white balls and $4$ black balls. $A$ bag and a ball out of it are picked at random. The probability that the ball is white,is

Similar Questions

$A$ purse contains $4$ copper coins and $3$ silver coins. $A$ second purse contains $6$ copper coins and $4$ silver coins. $A$ purse is chosen randomly and a coin is taken out of it. What is the probability that it is a copper coin?

$A$ bag contains $4$ red and $3$ blue balls. Two balls are drawn one after another. If the first ball is replaced before drawing the second,what is the probability that the first ball is red and the second ball is blue?

If $A_i$ $(i=1, 2, 3, \ldots, n)$ are $n$ independent events with $P(A_i) = \frac{1}{1+i}$ for each $i$,then the probability that none of $A_i$ occurs is

$A$ bag contains $10$ white and $15$ red balls. If two balls are drawn one after another,what is the probability that the first ball is red and the second ball is white?

$A$ bag contains $10$ similar balls,of which $4$ are blue and $6$ are red. Three balls are taken out at random from the bag one after the other without replacement. The probability that all the three balls drawn are red is

Vedclass Test Series

Exam Paper Generator

Online Exam Module