In a lottery $50$ tickets are sold in which $14$ are of prize. A man bought $2$ tickets, then the probability that the man win the prize, is

Seven white balls and three black balls are randomly placed in a row. The probability that no two black balls are placed adjacently equals

Find the probability that when a hand of $7$ cards is drawn from a well shuffled deck of $52$ cards, it contains atleast $3$ Kings.

The probability of getting $4$ heads in $8$ throws of a coin, is

A bag contains six balls of different colours. Two balls are drawn in succession with replacement. The probability that both the balls are of the same colour is p. Next four balls are drawn in succession with replacement and the probability that exactly three balls are of the same colours is $q$. If $p : q = m$ $: n$, where $m$ and $n$ are coprime, then $m + n$ is equal to $..........$.

If a committee of $3$ is to be chosen from a group of $38$ people of which you are a member. What is the probability that you will be on the committee