Let $S=\{1,2,3,4,5,6\} .$ Then the probability that a randomly chosen onto function $\mathrm{g}$ from $\mathrm{S}$ to $\mathrm{S}$ satisfies $g(3)=2 g(1)$ is :
$\frac{1}{10}$
$\frac{1}{15}$
$\frac{1}{5}$
$\frac{1}{30}$
If $4 \,-$ digit numbers greater than $5,000$ are randomly formed from the digits $0,\,1,\,3,\,5,$ and $7,$ what is the probability of forming a number divisible by $5$ when, the digits are repeated ?
A committee of two persons is selected from two men and two women. What is the probability that the committee will have no man ?
A bag contains $3$ red, $4$ white and $5$ blue balls. All balls are different. Two balls are drawn at random. The probability that they are of different colour is
$3$ numbers are chosen from first $15$ natural numbers, then probability that the numbers are in arithmetic progression
A bag contains $3$ red, $4$ white and $5$ black balls. Three balls are drawn at random. The probability of being their different colours is