There are 3 bags A, B & C . Bag A contains 1 Red & 2 Green balls, bag B contains 2 Red

English

Gujarati

Hindi

14.Probability

normal

There are $3$ bags $A, B$ & $C$. Bag $A$ contains $1$ Red & $2$ Green balls, bag $B$ contains $2$ Red & $1$ Green balls and bag $C$ contains only one green ball. One ball is drawn from bag $A$ & put into bag $B$ then one ball is drawn from $B$ & put into bag $C$ & finally one ball is drawn from bag $C$ & put into bag $A$. When this operation is completed, probability that bag $A$ contains $2$ Red & $1$ Green balls, is -

A

$\frac{1}{4}$

B

$\frac{1}{2}$

C

$\frac{1}{3}$

D

$\frac{1}{6}$

Solution

Probability $=\frac{2}{3} \times \frac{2}{4} \times \frac{1}{2}=\frac{1}{6}$

Standard 11

Mathematics

Share

Similar Questions

Two numbers are selected randomly from the set $S = \{ 1,\,2,\,3,\,4,\,5,\,6\} $ without replacement one by one. The probability that minimum of the two numbers is less than $4$ is

easy

(IIT-2003)

The number of $3 \times 3$ matrices $A$ whose entries are either $0$ or $1$ and for which the system $\mathrm{A}\left[\begin{array}{l}\mathrm{x} \\ \mathrm{y} \\ \mathrm{z}\end{array}\right]=\left[\begin{array}{l}1 \\ 0 \\ 0\end{array}\right]$ has exactly two distinct solutions, is

hard

(IIT-2010)

Six points are there on a circle . Two triangles are drawn with no vertex common. What is the probability that none of the sides of the triangles intersect

normal

One die has two faces marked $1$ , two faces marked $2$ , one face marked $3$ and one face marked $4$ . Another die has one face marked $1$ , two faces marked $2$ , two faces marked $3$ and one face marked $4$. The probability of getting the sum of numbers to be $4$ or $5$ , when both the dice are thrown together, is

medium

(JEE MAIN-2025)

Find the probability that when a hand of $7$ cards is drawn from a well shuffled deck of $52$ cards, it contains atleast $3$ Kings.

medium