Each of the two boxes A and B contain 10 chit | vedclass

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

Question

(B) Let $X$ be the number drawn from box $A$ and $Y$ be the number drawn from box $B$. The total number of possible outcomes is $10 	imes 10 = 100$.W

Vedclass · Accepted Answer

$\frac{9}{20}$

Vedclass · Answer

(B) Let $X$ be the number drawn from box $A$ and $Y$ be the number drawn from box $B$. The total number of possible outcomes is $10 	imes 10 = 100$.We want to find the probability $P(X The total outcomes can be divided into three cases: $X  Y$,and $X = Y$.The number of cases where $X = Y$ is $10$ (i.e.,$(1,1), (2,2), \ldots, (10,10)$).Since the situation is symmetric,the number of cases where $X  Y$.Let $N$ be the number of cases where $X $2N = 90 \implies N = 45$.The required probability is $\frac{N}{100} = \frac{45}{100} = \frac{9}{20}$.Hence,option $B$ is correct.

Each of the two boxes $A$ and $B$ contain $10$ chits numbered $1$ to $10$. If one chit is drawn at random from each of $A$ and $B$,then the probability that the number on the chit drawn from $A$ is smaller than the number on the chit drawn from $B$,is

Similar Questions

$A$ problem in mathematics is given to $4$ students whose chances of solving it individually are $\frac{1}{2}, \frac{1}{3}, \frac{1}{4},$ and $\frac{1}{5}.$ The probability that the problem will be solved by at least one student is

Events $E$ and $F$ are such that $P(\text{not } E \text{ and not } F) = 0.25$. State whether $E$ and $F$ are mutually exclusive.

If a number is chosen at random from the set $\{1, 2, 3, \ldots, 100\}$,then the probability that the chosen number is a perfect cube is

The probability that a non-leap year contains $53$ Sundays is

In a class of $60$ students,$30$ opted for $NCC$,$32$ opted for $NSS$,and $24$ opted for both $NCC$ and $NSS$. If one of these students is selected at random,find the probability that the student has opted for $NSS$ but not $NCC$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module