Two bolts,two nuts,and three needles are in a | vedclass

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

Question

(C) Total number of items = $2 	ext{ (bolts)} + 2 	ext{ (nuts)} + 3 	ext{ (needles)} = 7 	ext{ items}$.Total number of ways to choose $2$ parts fr

Vedclass · Accepted Answer

$\frac{6}{21}$

Vedclass · Answer

(C) Total number of items = $2 	ext{ (bolts)} + 2 	ext{ (nuts)} + 3 	ext{ (needles)} = 7 	ext{ items}$.Total number of ways to choose $2$ parts from $7$ is given by $n(S) = {}^{7}C_{2} = \frac{7 	imes 6}{2 	imes 1} = 21$.Let $E$ be the event that one part is a bolt and one part is a needle.The number of ways to choose $1$ bolt from $2$ and $1$ needle from $3$ is $n(E) = {}^{2}C_{1} 	imes {}^{3}C_{1} = 2 	imes 3 = 6$.Therefore,the probability $P(E) = \frac{n(E)}{n(S)} = \frac{6}{21}$.

Two bolts,two nuts,and three needles are in a box. Two parts are chosen at random from the box. What is the probability that one is a bolt and one is a needle?

Similar Questions

$A$ bag contains $5$ white and $3$ black balls. If two balls are drawn at random,what is the probability that one ball is white and the other is black?

$A$ class has $15$ boys and $5$ girls. Suppose $3$ students are selected at random from the class. The probability that there are $2$ boys and $1$ girl is

Two cards are drawn at random from a pack of $52$ cards. The probability of these two being Aces is

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

Out of $13$ applicants for a job,$5$ are women and $8$ are men. Two persons are to be selected for the job. What is the probability that at least one woman is selected?

Vedclass Test Series

Exam Paper Generator

Online Exam Module