Describe the following events A,B, and C in the random experiment of selecting two children from a group of 3 boys and 2 girls:
A= both selected children are boys.
B= selected children consists of one boy and one girl.
Which pair (or , pairs ) of events is (are) mutually exclusive?

Describe the following events A,B and C in the random experiment of selecting two children from a group of 2 boys and 3 girls: A: both selected children are girls B : at least one boy is selected C: selected children consists of one boy and one girl. Which pair (or, pairs ) of events is (are) mutually exclusive?

From 10 boys and 6 girls , how many different selections can be made so as to include at least one boy and one girl ?

Describe the following events A,B, and C in the random experiment of tossing three unbiased coins : A: event of getting three tails B: event of getting one head and C: event of getting atmost one tail .

Two childern are selected at random from a group of 2 boys and 3 girls. Write down the sample space of this random experiment.

In how many ways can a team of 3 boys and 3 girls be selected from 5 boys and 4 girls?

From 8 boys and 5 girls , how many different selections of 5 members can be made so as to include at least one boy and one girl ?

Describe the following events A,B, and C in the random experiment of tossing three unbiased coins : A: event of getting two heads, B: event of getting three heads. C: event of getting atmost one head. Show that (i) B is a simple event while A and C are compound events, (ii) events A,B,C are mutually exclusive and exhaustive.

Find the probility that in a family of 5 children there will be at least one boy and one girl.

A family has two children. What is the probability that both the children are boys given that at least one of them is a boy ?

A group consists of 4 girls are 7 boys. In how many ways can a team of 5 members be selected if the team has at least one boy and one girl ?