Three groups of children contain respectively 3 girls and 1 boy, 2 girls and 2 boys and 1 girl and 3 boys one child is selected at random from each group find the chance that the selected group contain 1 girl and 2 boys.

Three groups of children contain respectively 3 girls and 1 boy, 2 girls and 2 boys and 1 girl and 3 boys. One child is selected at random from each group. Find the chance that the selected group consists of 1 girl and 2 boys.

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 a group of 14 males and 6 females, 8 and 3 of the males and the females respectively are aged above 40 years. The probability that a person selected at random from the group is aged above 40 years, given that the selected person is a female is-

In how many ways can 5 girls and 3 boys be seated in a row so that no two boys are together?

In how many ways can 5 girls and 3 boys be seated in a row so that no two boys are together ?

If three boxes containing 3 white and 1 black, 2 white and 2 black, 1 white and 3 black balls respectively, one ball is drawn at random, find the probability that the ball is black.

In a group of 20 males and 5 females, 10 males and 3 females are service holders. What is the probability that a person selected at random from the group, is a service holder, given that the selected person is a male ?

Find the number of ways in which 5 girls and 5 boys can be arranged in a row if boys and girls are alternative.

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

In a class, 5% of the boys and 10% of the girls have an IQ more than 150. In the class 60% of the students are boys and rest girls. If a student is selected at random and found to have an IQ of more than 150, find the probability that the student is a boy.