A box 'A' contanis 2 white, 3 red and | vedclass

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

Question

Probability of drawing a whiteball and then a red ball from bag $B$ is given by

$\,\frac{{^4{C_1} 	imes {\,^2}{C_1}}}{{{\,^9}{C_{  2}}}} = \f

Vedclass · Accepted Answer

$\frac{7}{{16}}$

Vedclass · Answer

Probability of drawing a whiteball and then a red ball from bag $B$ is given by

$\,\frac{{^4{C_1} 	imes {\,^2}{C_1}}}{{{\,^9}{C_{  2}}}} = \frac{2}{9}$

Probability of drawing a whiteball and then a red ball frombag $A$ is given by

$\,\frac{{^2{C_1} 	imes {\,^3}{C_1}}}{{{\,^7}{C_{  2}}}} = \frac{2}{7}$

Hence, the probability of drawing a white ball and then a red ball from bag $B$

$=\frac{\frac{2}{9}}{\frac{2}{7}+\frac{2}{9}}=\frac{2 	imes 7}{18+14}=\frac{7}{16}$

Similar Questions

Words with or without meaning are to be formed using all the letters of the word $EXAMINATION.$ The probability that the letter $\mathrm{M}$ appears at the fourth position in any such word is:

Three mangoes and three apples are in a box. If two fruits are chosen at random, the probability that one is a mango and the other is an apple is

A bag contains $20$ coins. If the probability that bag contains exactly $4$ biased coin is $1/3$ and that of exactly $5$ biased coin is $2/3$,then the probability that all the biased coin are sorted out from the bag in exactly $10$ draws is

A drawer contains $5$ brown socks and $4$ blue socks well mixed. A man reaches the drawer and pulls out $2$ socks at random. What is the probability that they match

A coin is based so that a head is twice as likely to occur as a tail. If the coin is tossed $3$ times, then the probability of getting two tails and one head is-