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

If out of $20$ consecutive whole numbers two are chosen at random,then the probability that their sum is odd,is

Two cards are drawn at random from a pack of $52$ cards. The probability that both are the cards of spade is

$A$ 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?

$A$ bag contains $5$ white,$7$ black and $4$ red balls. Three balls are drawn from the bag at random. The probability that all the three balls are white,is

$A$ total of $13$ people,consisting of $5$ women and $8$ men,have applied for a job. If $2$ people are to be selected from these $13$ people,what is the probability that at least one woman is selected?

Vedclass Test Series

Exam Paper Generator

Online Exam Module