A bag contains 2 red,3 green and 2 blue balls | vedclass

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

Question

(A) Total number of balls $= 2 + 3 + 2 = 7$.Let $S$ be the sample space.Then,$N(S) =$ Number of ways of drawing $2$ balls out of $7 = {}^{7}C_{2} = \f

Vedclass · Accepted Answer

$\frac{10}{21}$

Vedclass · Answer

(A) Total number of balls $= 2 + 3 + 2 = 7$.Let $S$ be the sample space.Then,$N(S) =$ Number of ways of drawing $2$ balls out of $7 = {}^{7}C_{2} = \frac{7 	imes 6}{2 	imes 1} = 21$.Let $E$ be the event of drawing two balls,none of which is blue.This means the $2$ balls must be chosen from the $(2 + 3) = 5$ non-blue balls (red and green).Therefore,$N(E) =$ Number of ways of drawing $2$ balls out of $5 = {}^{5}C_{2} = \frac{5 	imes 4}{2 	imes 1} = 10$.$P(E) = \frac{N(E)}{N(S)} = \frac{10}{21}$.

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

Similar Questions

Consider the circuit shown in the image. If the probability that each switch is closed is $p$,then find the probability of current flowing through $AB$.

$A$ bag contains $5$ brown and $4$ white socks. $A$ man pulls out two socks. The probability that these are of the same colour is

$A$ pack of cards contains $4$ aces,$4$ kings,$4$ queens,and $4$ jacks. Two cards are drawn at random. The probability that at least one of these is an ace is:

$A$ coin is tossed twice. The probability of getting head both the times is

In a single throw of $3$ dice,find the probability of getting a total of $5$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module