From out of 100 enrolled students,two section | vedclass

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

Question

(B) Total number of ways to select $2$ students out of $100$ is ${ }^{100} C_2$. Number of ways in which both you and your friend are placed in the fi

Vedclass · Accepted Answer

$\frac{{ }^{40} C_2+{ }^{60} C_2}{{ }^{100} C_2}$

Vedclass · Answer

(B) Total number of ways to select $2$ students out of $100$ is ${ }^{100} C_2$. Number of ways in which both you and your friend are placed in the first section (strength $40$) is ${ }^{40} C_2$. Number of ways in which both you and your friend are placed in the second section (strength $60$) is ${ }^{60} C_2$. Since these are mutually exclusive events,the total number of favorable ways is ${ }^{40} C_2 + { }^{60} C_2$. Therefore,the required probability is $\frac{{ }^{40} C_2 + { }^{60} C_2}{{ }^{100} C_2}$.

From out of $100$ enrolled students,two sections of strength $40$ and $60$ are formed. If you and your friend are among those $100$ students,then the probability that both of you are placed in the same section is

Similar Questions

$A$ flashlight has $10$ batteries,out of which $4$ are dead. If $3$ batteries are selected without replacement and tested,then the probability that all $3$ are dead is:

$A$ bag contains tickets numbered from $1$ to $20$. Two tickets are drawn. The probability that both the numbers are prime,is

$A$ committee of two persons is selected from two men and two women. What is the probability that the committee will have exactly one man?

Two numbers are selected randomly from the set $S = \{ 1, 2, 3, 4, 5, 6 \}$ without replacement one by one. The probability that the minimum of the two numbers is less than $4$ is

From a well-shuffled pack of $52$ cards,two cards are drawn at random. The probability that both cards are kings is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module