Fifteen persons among whom are $A$ and $B$, sit down at random at a round table. The probability that there are $4$ persons between $A$ and $B$, is
$\frac{1}{3}$
$\frac{2}{3}$
$\frac{2}{7}$
$\frac{1}{7}$
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
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
A bag contains $3$ white and $5$ black balls. If one ball is drawn, then the probability that it is black, is
If six students, including two particular students $A$ and $B,$ stand in a row, then the probability that $A$ and $B$ are separated with one student in between them is
Three cards are drawn at random from a pack of $52$ cards. What is the chance of drawing three aces