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

Two numbers are selected at random from $1, 2, 3 ......100$ and are multiplied, then the probability correct to two places of decimals that the product thus obtained is divisible by $3$, 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 square is

A purse contains $4$ copper coins $\& \, 3$ silver coins, the second purse contains $6$ copper coins $\& \,2$ silver coins. If a coin is drawn out of one of these purses, then the probability that it is a copper coin is :-

A pack of cards contains $4$ aces, $4$ kings, $4$ queens and $4$ jacks. Two cards are drawn at random. The probability that at least one of these is an ace, is

In a lottery $50$ tickets are sold in which $14$ are of prize. A man bought $2$ tickets, then the probability that the man win the prize, is