Out of 100 students, two sections of 40 and 60 are formed. If you and your friend are among 100 stud

English

Gujarati

Hindi

14.Probability

easy

Out of $100$ students, two sections of $40$ and $60$ are formed. If you and your friend are among the $100$ students, what is the probability that You both enter the different sections?

A

$\frac{16}{33}$

B

$\frac{16}{33}$

C

$\frac{16}{33}$

D

$\frac{16}{33}$

Solution

My friend and $I$ are among the $100$ students.

Total number of ways of selecting $2$ students out of $100$ students $=^{100} C_{2}$

$P$ (we enter different sections)

$=1- P$ (we enter the same section)

$=1-\frac{17}{33}=\frac{16}{33}$

Standard 11

Mathematics

Share

Similar Questions

A card is drawn from a pack of $52$ playing cards. The card is replaced and pack is shuffled. If this is done six times, then the probability that $2$ hearts, $2$ diamond and $2$ black cards are drawn is

normal

$4$ cards are drawn from a well-shuffled deck of $52$ cards. What is the probability of obtaining $3$ diamonds and one spade?

medium

Out of $100$ students, two sections of $40$ and $60$ are formed. If you and your friend are among the $100$ students, what is the probability that you both enter the same section ?

easy

Let $A=\left[a_{i j}\right]$ be a square matrix of order $2$ with entries either $0$ or $1$ . Let $E$ be the event that $A$ is an invertible matrix. Then the probability $P ( E )$ is:

hard

(JEE MAIN-2025)

Four distinct numbers are randomly selected out of the set of first $20$ natural numbers. Probability that no two of them are consecutive is –

normal