Five boys and four girls randomly stand in a line. Find the probability that no two girls come together.

4 girls and 4 boys sit in a row. Find the probability that the four girls are together

4 girls and 4 boys sit in a row. Find the probability the boys and girls sit in alternate seats.

A company has two plants to manufacture motorcycles. 70% motorcycles are manufactured at the first plant, while 30% are manufactured at the second plant. At the first plant, 80% motorcycles are rated of standard quality, while at the second plant, 90% are rated of standard quality. A motorcycle, randomly picked up, is found to be standard quality. Find the probability that it has come out from the second plant.

A committee of 4 persons has to be chosen from 8 boys and 6 girls, consisting of atleast one girl. Find the probability that the committee consists of more girls than boys.

Eight person stand in a line at random. What is the probability that two person X and Y don't stand together.

Four records are taken out of their jackets, played and returned to the jackets at random. Find the probability that none of the records goes into the right jacket.

Three phonorecords are removed from their jackets, played at random. Find the probability that just two records go to the right jacket,

Three volumes of book and five volumes of another book are placed at random on a book shelf. Find the probability that all volumes of both the books will be found together.

A class consists of 25 boys and 15 girls. If a committee of 6 is to be chosen at random, find the probability that all members of the committee are girls