An URN contains 6 blue,4 red,3 green and 2 ye | vedclass

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

Question

(D) Total number of marbles $= 6 + 4 + 3 + 2 = 15$.We need to select $4$ marbles out of $15$. The total number of ways to select $4$ marbles is given

Vedclass · Accepted Answer

$\frac{24}{455}$

Vedclass · Answer

(D) Total number of marbles $= 6 + 4 + 3 + 2 = 15$.We need to select $4$ marbles out of $15$. The total number of ways to select $4$ marbles is given by ${}^{15}C_{4} = \frac{15 	imes 14 	imes 13 	imes 12}{4 	imes 3 	imes 2 	imes 1} = 1365$.The number of ways to select $1$ yellow marble from $2$ is ${}^{2}C_{1} = 2$.The number of ways to select $2$ red marbles from $4$ is ${}^{4}C_{2} = \frac{4 	imes 3}{2 	imes 1} = 6$.The number of ways to select $1$ blue marble from $6$ is ${}^{6}C_{1} = 6$.The number of favorable outcomes $= {}^{2}C_{1} 	imes {}^{4}C_{2} 	imes {}^{6}C_{1} = 2 	imes 6 	imes 6 = 72$.Required Probability $= \frac{72}{1365} = \frac{24}{455}$.

$Face$	$1$	$2$	$3$	$4$	$5$	$6$
$Probability$	$0.2$	$0.22$	$0.11$	$0.25$	$0.05$	$0.17$

An $URN$ contains $6$ blue,$4$ red,$3$ green and $2$ yellow marbles. If four marbles are picked at random,what is the probability that one is yellow,two are red and one is blue?

Similar Questions

$A$ six-faced die is biased such that it is twice as likely to show an even number as an odd number when thrown. If it is thrown twice, what is the probability that the sum of the two numbers obtained is even?

There are $n$ letters and $n$ addressed envelopes. The probability that all the letters are not kept in the right envelope,is

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

For a biased die,the probabilities for different faces to turn up are

$Face$ $1$ $2$ $3$ $4$ $5$ $6$

$Probability$ $0.2$ $0.22$ $0.11$ $0.25$ $0.05$ $0.17$

The die is tossed and you are told that either face $4$ or face $5$ has turned up. The probability that it is face $4$ is

$1$ bag contains $4$ white and $2$ black balls. Another bag contains $3$ white and $5$ black balls. If $1$ ball is drawn from each bag,find the probability that both balls are black.

Vedclass Test Series

Exam Paper Generator

Online Exam Module