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 $= 5 + 7 + 4 = 16$.Number of ways to draw $3$ balls from $16$ balls is given by $^{16}C_{3} = \frac{16 	imes 15 	imes 14}{

Vedclass · Accepted Answer

$\frac{1}{56}$

Vedclass · Answer

(D) Total number of balls $= 5 + 7 + 4 = 16$.Number of ways to draw $3$ balls from $16$ balls is given by $^{16}C_{3} = \frac{16 	imes 15 	imes 14}{3 	imes 2 	imes 1} = 16 	imes 5 	imes 7 = 560$.Number of ways to draw $3$ white balls from $5$ white balls is given by $^{5}C_{3} = \frac{5 	imes 4 	imes 3}{3 	imes 2 	imes 1} = 10$.The probability that all three balls are white is $\frac{^{5}C_{3}}{^{16}C_{3}} = \frac{10}{560} = \frac{1}{56}$.

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

Similar Questions

For the two events $A$ and $B$,$P(A) = 0.38$ and $P(B) = 0.41$. What is the value of $P(\text{not } A)$?

One bag contains $5$ white and $3$ black balls and a second bag contains $2$ white and $4$ black balls. One ball is drawn from the first bag and placed unseen in the second bag. What is the probability that a ball now drawn from the second bag is black?

The probability that a leap year will have $53$ Fridays or $53$ Saturdays is

$A$ card is drawn at random from a pack of $100$ cards numbered $1$ to $100$. The probability of drawing a number which is a perfect square is

The probability that a leap year selected randomly will have $53$ Sundays is

Vedclass Test Series

Exam Paper Generator

Online Exam Module