# There Are Four Men and Six Women on the City Councils. If One Council Member is Selected for a Committee at Random, How Likely is that It is a Women? - Mathematics

There are four men and six women on the city councils. If one council member is selected for a committee at random, how likely is that it is a women?

#### Solution

Out of four men and six women, one person can be chosen in 10C1 = 10 ways.
Number of ways of selecting one women out of six women = 6C1 = 6 ways.

$\therefore \text{ Required probability } = \frac{6}{10} = \frac{3}{5}$

Is there an error in this question or solution?

#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 33 Probability
Exercise 33.3 | Q 20 | Page 46