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

Solution:

There are 4 men and 6 women on the city council.

As one council member is to be selected for a committee at random, the sample space contains (4 + 6) = 10 elements. i.e., n (S) = 10.

Let W be the event in which the selected council member is a woman.

Accordingly, n (W) = 6.

Thus, the required probability is,

P (W) = Number of outcomes favourable to W/Total number of possible outcomes

= n (W)/n (S)

= 6/10

= 3/5

NCERT Solutions Class 11 Maths Chapter 16 Exercise 16.3 Question 6

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

Summary:

There are four men and six women on the city council. If one council member is selected for a committee at random, then the probability that it is a woman is 3/5.