Boys Vs Girls|Who will Win ?

Six boys and six girls sit in a row randomly. Find the probability that (i) the six girls sit together,(ii) the boys and girls sit alternately.

The ratio of the boys to girls in a class is 2:3 . If 20% of boys leave this class,then the new ratio of boys to girls is

Boy and Girl standing in a queue

In an examination there were 1100 Boys and 900 Girls 50% of the boys and 40% girls passed the examination.The percentage of candidates who failed is :

A committee of 4 boys and 3 girls is chosen from 8 boys and 5 girls. One of the boys is a brother of one of the girls. Probability that both are in the committee is