(A) Total number of balls = $2 + 3 + 2 = 7$. Number of ways to draw $2$ balls from $7$ is $^7C_2 = \frac{7 \times 6}{2} = 21$. We want the probability

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

(A) Total number of balls = $2 + 3 + 2 = 7$. Number of ways to draw $2$ balls from $7$ is $^7C_2 = \frac{7 \times 6}{2} = 21$. We want the probability that none of the balls drawn is blue. This means both balls must be chosen from the red and green balls. Total non-blue balls = $2 \text{ (red)} + 3 \text{ (green)} = 5$. Number of ways to choose $2$ balls from $5$ non-blue balls is $^5C_2 = \frac{5 \times 4}{2} = 10$. Therefore,the probability is $\frac{10}{21}$.

Class 11 Mathematics Probability Permutation and Combination based Probability

Easy

$A$ bag contains $2$ red,$3$ green,and $2$ blue balls. Two balls are drawn at random. The probability that none of the balls drawn is blue is

AP EAMCET 2022 All AP EAMCET

A
$10 / 21$
B
$11 / 21$
C
$2 / 7$
D
$5 / 7$

Explore More

Browse All

Question Bank

All Subjects

Class 11 Questions

Class 11

Mathematics Questions

Chapter

Probability

Subtopic

Permutation and Combination based Probability

Previous Year

AP EAMCET 2022 Paper All AP EAMCET years →

$3$ letters are placed randomly into $3$ envelopes. What is the probability that exactly one letter is placed in the correct envelope?

Medium

View Solution

$A$ three-digit number is formed by using the digits $1, 2, 3,$ and $4$ without repetition. The probability that the number is divisible by $3$ is:

Medium

View Solution

$A$ box contains $5$ blue and $4$ white chalks. If two chalks are chosen at random,what is the probability that both chalks are of the same color?

Medium

View Solution

Two numbers are chosen at random from $\{1, 2, 3, 4, 5, 6, 7, 8\}$ at a time. The probability that the smaller of the two numbers is less than $4$ is

DifficultTS EAMCET 2013

View Solution

On her vacations,Veena visits four cities ($A, B, C$,and $D$) in a random order. What is the probability that she visits $A$ first and $B$ last?

Medium

View Solution

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial

For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free

For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo

$A$ bag contains $2$ red,$3$ green,and $2$ blue balls. Two balls are drawn at random. The probability that none of the balls drawn is blue is

Similar Questions

$3$ letters are placed randomly into $3$ envelopes. What is the probability that exactly one letter is placed in the correct envelope?

$A$ three-digit number is formed by using the digits $1, 2, 3,$ and $4$ without repetition. The probability that the number is divisible by $3$ is:

$A$ box contains $5$ blue and $4$ white chalks. If two chalks are chosen at random,what is the probability that both chalks are of the same color?

Two numbers are chosen at random from $\{1, 2, 3, 4, 5, 6, 7, 8\}$ at a time. The probability that the smaller of the two numbers is less than $4$ is

On her vacations,Veena visits four cities ($A, B, C$,and $D$) in a random order. What is the probability that she visits $A$ first and $B$ last?

Vedclass Test Series

Exam Paper Generator

Online Exam Module