A bag contains 5 white,7 black,and 4 red ball | vedclass

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

Question

(D) Total number of balls in the bag $= 5 + 7 + 4 = 16$.We need to draw $3$ balls out of $16$. The total number of ways to select $3$ balls is given b

Vedclass · Accepted Answer

$\frac{1}{56}$

Vedclass · Answer

(D) Total number of balls in the bag $= 5 + 7 + 4 = 16$.We need to draw $3$ balls out of $16$. The total number of ways to select $3$ balls is given by $^{16}C_3 = \frac{16 	imes 15 	imes 14}{3 	imes 2 	imes 1} = 16 	imes 5 	imes 7 = 560$.The number of ways to select $3$ white balls out of $5$ white balls is given by $^{5}C_3 = \frac{5 	imes 4 	imes 3}{3 	imes 2 	imes 1} = 10$.The probability of drawing $3$ white balls is $P = \frac{	ext{Number of favorable outcomes}}{	ext{Total number of outcomes}} = \frac{10}{560} = \frac{1}{56}$.

$A$ 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:

Similar Questions

If a committee of $3$ is to be chosen from a group of $38$ people of which you are a member,what is the probability that you will be on the committee?

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

In a throw of a dice,the probability of getting a $1$ in an even number of throws is:

Study the given information carefully to answer the question that follows. An urn contains $4$ green,$5$ blue,$2$ red,and $3$ yellow marbles. If $3$ marbles are drawn at random,what is the probability that at least $1$ is yellow?

In a simultaneous toss of $2$ coins,find the probability of getting exactly $1$ tail.

Vedclass Test Series

Exam Paper Generator

Online Exam Module