If a committee of 3 is to be chosen from a group of 38 people of which you are a member. probability

Gujarati

Hindi

14.Probability

easy

If a committee of $3$ is to be chosen from a group of $38$ people of which you are a member. What is the probability that you will be on the committee

$\left( \begin{array}{l}38\\\,3\end{array} \right)$

$\left( \begin{array}{l}37\\\,2\end{array} \right)$

$\frac{{\left( \begin{array}{l}37\\{\rm{ }}2\end{array} \right)}}{{\left( \begin{array}{l}38\\{\rm{ }}3\end{array} \right)}}$.

$\frac{{666}}{{8436}}$

Solution

(c) Required probability $ = \frac{{^{37}{C_2}}}{{^{38}{C_3}}} = \frac{{\left( \begin{array}{l}37\\{\rm{ }}2\end{array} \right)}}{{\left( \begin{array}{l}38\\{\rm{ }}3\end{array} \right)}}$.

Standard 11

Mathematics

If the paper of $4$ students can be checked by any one of $7$ teachers, then the probability that all the $4$ papers are checked by exactly $2$ teachers is

normal

A word consists of $11$ letters in which there are $7$ consonants and $4$ vowels. If $2$ letters are chosen at random, then the probability that all of them are consonants, is

easy

Five digit numbers are formed using the digits $1, 2, 3, 4, 5, 6$ and $8$. What is the probability that they have even digits at both the ends

medium

An urn contains $6$ white and $9$ black balls. Two successive draws of $4$ balls are made without replacement. The probability, that the first draw gives all white balls and the second draw gives all black balls, is:

medium

(JEE MAIN-2024)

Two numbers are selected at random from $1, 2, 3 ……100$ and are multiplied, then the probability correct to two places of decimals that the product thus obtained is divisible by $3$, is

hard