$3$ numbers are chosen from first $15$ natural numbers, then probability that the numbers are in arithmetic progression
$\frac{2}{5}$
$\frac{6}{{85}}$
$\frac{{^{15}{C_2}}}{{^{15}{C_3}}}$
$\frac{7}{{65}}$
Six boys and six girls sit in a row randomly. The probability that the six girls sit together
Six boys and six girls sit in a row. What is the probability that the boys and girls sit alternatively
Two friends $A$ and $B$ have equal number of daughters. There are three cinema tickets which are to be distributed among the daughters of $A$ and $B$. The probability that all the tickets go to daughters of $A$ is $1/20$. The number of daughters each of them have is
A mapping is selected at random from the set of all the mappings of the set $A = \left\{ {1,\,\,2,\,...,\,n} \right\}$ into itself. The probability that the mapping selected is an injection is
In a certain lottery $10,000$ tickets are sold and ten equal prizes are awarded. What is the probability of not getting a prize if you buy two ticket.