A committee of five is to be chosen from a group of $9$ people. The probability that a certain married couple will either serve together or not at all, is
$\frac{1}{2}$
$\frac{5}{9}$
$\frac{4}{9}$
$\frac{2}{9}$
A bag contains $5$ brown and $4$ white socks. A man pulls out two socks. The probability that these are of the same colour is
There are $n$ letters and $n$ addressed envelops. The probability that each letter takes place in right envelop is
Two numbers are selected randomly from the set $S = \{ 1,\,2,\,3,\,4,\,5,\,6\} $ without replacement one by one. The probability that minimum of the two numbers is less than $4$ is
Three distinct numbers are selected from first $100$ natural numbers. The probability that all the three numbers are divisible by $2$ and $3$ is
Three of the six vertices of a regular hexagon are chosen at random. The probability that the triangle with these three vertices is equilateral, is equal to