From a group of 7 men and 4 ladies a committe | vedclass

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

Question

(b) Total number of ways to select $6$ persons out of $11 = {}^{11}{C_6}$

Ways to select two ladies $ = {}^4{C_2}$

Ways to select four men $ = {

Vedclass · Accepted Answer

$\frac{5}{{11}}$

Vedclass · Answer

(b) Total number of ways to select $6$ persons out of $11 = {}^{11}{C_6}$

Ways to select two ladies $ = {}^4{C_2}$

Ways to select four men $ = {}^7{C_4}$

$	herefore $ Probability that committee contain $2$ ladies

$ = \frac{{{}^4{C_2}.{}^7{C_4}}}{{{}^{11}{C_6}}} = \frac{5}{{11}}.$

From a group of $7$ men and $4$ ladies a committee of $6$ persons is formed, then the probability that the committee contains $2$ ladies is

Similar Questions

There are $5$ volumes of Mathematics among $25$ books. They are arranged on a shelf in random order. The probability that the volumes of Mathematics stand in increasing order from left to right (the volumes are not necessarily kept side by side) is

A drawer contains $5$ brown socks and $4$ blue socks well mixed. A man reaches the drawer and pulls out $2$ socks at random. What is the probability that they match

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:

A bag contains $3$ red, $4$ white and $5$ blue balls. All balls are different. Two balls are drawn at random. The probability that they are of different colour is

A lot consists of $12$ good pencils, $6$ with minor defects and $2$ with major defects. A pencil is choosen at random. The probability that this pencil is not defective is