$A$ committee of $5$ is to be formed from a group of $9$ people. What is the probability that a specific married couple is either both included or both excluded from the committee?

Two different families $A$ and $B$ are blessed with an equal number of children. There are $3$ tickets to be distributed amongst the children of these families so that no child gets more than one ticket. If the probability that all the tickets go to the children of family $B$ is $\frac{1}{12}$,then the number of children in each family is?

Four cards are drawn at random from a pack of playing cards. The probability of getting exactly two cards from the same suit and the remaining two cards from two different suits is

Out of $40$ consecutive natural numbers,two are chosen at random. The probability that the sum of the numbers is odd is:

Four cards are drawn at random from a pack of $52$ playing cards. The probability of getting all four cards of the same suit is

The probability of getting a king and a spade card when two cards are drawn simultaneously from a pack of $52$ playing cards is