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 women?

Suppose that 5% of men and 0.25% of women have grey hair. A grey haired person is selected at random. What is the probability of this person being male? Assume that there are equal number of males and females.

From 6 men and 4 women a committee of 5 members is to be formed. The probability that this can be done so as to include atleast one woman always is

A committee of 6 is chosen from 10 men and 7 and women so as contain atleast 3 men and 2 women .If 2 particular women refuse to serve on the same committee the number of ways of forming the committee is

A committee of 3 persons is to be constituted from a group of 2 men and 3 women. In how many ways can this be done? How many of these committees would consist of 1 man and 2 women?

There are 20 pairs of shoes in a closet. Four shoes are selected at random. The probability that there is exactly one pair is

Out of 13 applicants for a job, there are 5 women and 8 men. It is desired to select 2 persons for the job. The probability that atleast one of the selected persons will be a woman is

eight chairs are numbered 1 to 8 two women and three men wish to occupy one chair each First the women choose the chairs from amongst the chairs marked 1 to 4 and then the men select the chairs from amongst the remaing . The number of possible arrangements is

In a certain colleage, 4% of men and 1% of women are taller than 1.8m. Also, 60% of students are women. If a student selected at random is found to be taller than 1.8 m, then the probability that the student being a woman is