Study the given information carefully to answ | vedclass

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

Question

(A) Total number of marbles $= 4 + 5 + 2 + 3 = 14$.Total number of ways to draw $4$ marbles from $14$ is given by ${}^{14}C_{4}$.${}^{14}C_{4} = \frac

Vedclass · Accepted Answer

$\frac{10}{1001}$

Vedclass · Answer

(A) Total number of marbles $= 4 + 5 + 2 + 3 = 14$.Total number of ways to draw $4$ marbles from $14$ is given by ${}^{14}C_{4}$.${}^{14}C_{4} = \frac{14 	imes 13 	imes 12 	imes 11}{4 	imes 3 	imes 2 	imes 1} = 1001$.Number of ways to choose $2$ blue marbles from $5$ blue marbles is ${}^{5}C_{2} = \frac{5 	imes 4}{2 	imes 1} = 10$.Number of ways to choose $2$ red marbles from $2$ red marbles is ${}^{2}C_{2} = 1$.Total number of favourable outcomes $= {}^{5}C_{2} 	imes {}^{2}C_{2} = 10 	imes 1 = 10$.Required probability $= \frac{	ext{Favourable outcomes}}{	ext{Total outcomes}} = \frac{10}{1001}$.

$Face$	$1$	$2$	$3$	$4$	$5$	$6$
$Probability$	$0.1$	$0.32$	$0.21$	$0.15$	$0.05$	$0.17$

Study the given information carefully to answer the question that follows. An urn contains $4$ green,$5$ blue,$2$ red,and $3$ yellow marbles. If $4$ marbles are drawn at random,what is the probability that $2$ are blue and $2$ are red?

Similar Questions

If $A$ is a sure event,then the value of $P(A^c)$ is

The probabilities that a student will receive an $A$, $B$, $C$, or $D$ grade are $0.30$, $0.38$, $0.22$, and $0.01$ respectively. What is the probability that the student will receive at least $B$ grade?

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

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

$Probability$ $0.1$ $0.32$ $0.21$ $0.15$ $0.05$ $0.17$

The die is tossed and you are told that either face $1$ or $2$ has turned up. Then the probability that it is face $1$ is:

$A$ basket contains $4$ red,$5$ blue,and $3$ green marbles. If three marbles are picked at random,what is the probability that at least one is blue?

The probability of a sure event is

Vedclass Test Series

Exam Paper Generator

Online Exam Module