A box contains 2 black,4 white and 3 red ball | vedclass

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

Question

(A) Total number of balls = $2 + 4 + 3 = 9$. The probability of drawing $2$ black balls in succession is $\frac{2}{9} 	imes \frac{1}{8}$. The probabi

Vedclass · Accepted Answer

$\frac{1}{1260}$

Vedclass · Answer

(A) Total number of balls = $2 + 4 + 3 = 9$. The probability of drawing $2$ black balls in succession is $\frac{2}{9} 	imes \frac{1}{8}$. The probability of drawing $4$ white balls in succession from the remaining $7$ balls is $\frac{4}{7} 	imes \frac{3}{6} 	imes \frac{2}{5} 	imes \frac{1}{4}$. The probability of drawing $3$ red balls in succession from the remaining $3$ balls is $\frac{3}{3} 	imes \frac{2}{2} 	imes \frac{1}{1} = 1$. The total probability is the product of these probabilities: $P = \frac{2}{9} 	imes \frac{1}{8} 	imes \frac{4}{7} 	imes \frac{3}{6} 	imes \frac{2}{5} 	imes \frac{1}{4} 	imes 1 = \frac{48}{9 	imes 8 	imes 7 	imes 6 	imes 5 	imes 4} = \frac{48}{60480} = \frac{1}{1260}$.

Similar Questions

If $4$ letters are selected at random from the letters of the word $PROBABILITY$, then the probability of getting a combination of letters in which at least one letter is repeated is

If $7$ identical white balls and $3$ identical black balls are arranged in a row at random,what is the probability that no two black balls are together?

$A$ committee of $9$ experts is formed from three organizations $A$,$B$,and $C$,consisting of $2$ from $A$,$3$ from $B$,and $4$ from $C$. If three experts resign,find the probability that they belong to different organizations.

Let $\omega$ be a complex cube root of unity with $\omega \neq 1$. $A$ fair die is thrown three times. If $r_1, r_2,$ and $r_3$ are the numbers obtained on the die,what is the probability that $\omega^{r_1} + \omega^{r_2} + \omega^{r_3} = 0$?

$A$ bag contains $3$ red,$4$ white,and $5$ blue balls. All balls are distinct. Two balls are drawn at random. The probability that they are of different colors is

Vedclass Test Series

Exam Paper Generator

Online Exam Module