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 $5$ white,$7$ red,and $8$ black balls. If four balls are drawn one by one without replacement,what is the probability that all are white?

Three numbers are chosen at random without replacement from the set $A = \{x \in \mathbb{Z} \mid 2 \leq x \leq 11\}$. The probability that the minimum of the chosen numbers is $3$ and the maximum is $7$ is

What is the probability that a number formed using all the digits $1, 2, 3, 4, 5$ is divisible by $4$?

Five persons enter a lift cabin in the cellar of a $7$-floor building (excluding the cellar). If each of them independently and with equal probability can leave the cabin at any floor out of the $7$ floors (beginning with the first),then the probability that all $5$ persons leave the cabin at different floors is:

$A$ bag contains $21$ toys numbered $1$ to $21$. $A$ toy is drawn and then another toy is drawn without replacement. The probability that both toys will show even numbers is