A bag contains 3 red, 7 white and 4 black bal | vedclass

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

Question

(c) Required probability $ = \frac{{{}^3{C_3} + {}^7{C_3} + {}^4{C_3}}}{{{}^{14}{C_3}}}$

$ = \frac{{1 + 35 + 4}}{{14\,.\,13\,.\,2}} = \frac{{40}}{{

Vedclass · Accepted Answer

$\frac{{10}}{{91}}$

Vedclass · Answer

(c) Required probability $ = \frac{{{}^3{C_3} + {}^7{C_3} + {}^4{C_3}}}{{{}^{14}{C_3}}}$

$ = \frac{{1 + 35 + 4}}{{14\,.\,13\,.\,2}} = \frac{{40}}{{14\,.\,26}} = \frac{{10}}{{91}}.$

A bag contains $3$ red, $7$ white and $4$ black balls. If three balls are drawn from the bag, then the probability that all of them are of the same colour is

Similar Questions

If $12$ identical balls are to be placed randomly in $3$ identical boxes, then the probability that one of the boxes contains exactly $3$ balls is

If three of the six vertices of a regular hexagon are chosen at random, then the probability that the triangle formed with these chosen vertices is equilateral is

A man draws a card from a pack of $52$ playing cards, replaces it and shuffles the pack. He continues this processes until he gets a card of spade. The probability that he will fail the first two times is

A box contains $15$ tickets numbered $1, 2, ....... 15$. Seven tickets are drawn at random one after the other with replacement. The probability that the greatest number on a drawn ticket is $9$, is

Each of the persons $\mathrm{A}$ and $\mathrm{B}$ independently tosses three fair coins. The probability that both of them get the same number of heads is :