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

  • A
    $\frac{{ }^{98} C_{40}+{ }^{98} C_{58}}{{ }^{100} C_{40}}$
  • B
    $\frac{{ }^{40} C_2+{ }^{60} C_2}{{ }^{100} C_2}$
  • C
    $\frac{{ }^{98} C_{60}+{ }^{98} C_{38}}{{ }^{100} C_{60}}$
  • D
    $\frac{{ }^{98} C_{58}+{ }^{98} C_0}{{ }^{100} C_2}$

Explore More

Similar Questions

Five persons enter a lift cabin in the cellar of a $7$-floor building (excluding the cellar). If each of them independently and with equal probability can leave the cabin at any floor out of the $7$ floors (beginning with the first), then the probability that all $5$ persons leave the cabin at different floors is:

There are $4$ hotels in a town. If $3$ men check into the hotels in a day,then the probability that each checks into a different hotel is

$A$ bag contains $10$ identical pens,of which $4$ are red and $6$ are blue. $3$ pens are taken out at random one after another. Find the probability that all $3$ are blue.

$A$ bag contains $4$ white and $3$ red balls. Two draws of one ball each are made without replacement. Then the probability that both the balls are red is

$A$ class has $15$ boys and $5$ girls. Suppose $3$ students are selected at random from the class. The probability that there are $2$ boys and $1$ girl is

Vedclass Products

For Students

Vedclass Test Series

Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.

Start Free Trial
For Teachers

Exam Paper Generator

Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.

Try Free
For Institutes

Online Exam Module

Live online exams with unlimited students, 360° analytics & white-label branding.

See Demo