There are $4$ hotels in a town. If $3$ men check into the hotels in a day,then the probability that each checks into a different hotel is

$A$ bag contains $5$ white,$7$ black and $4$ red balls. Three balls are drawn from the bag at random. The probability that all the three balls are white,is

From out of $100$ enrolled students,two sections of strength $40$ and $60$ are formed. If you and your friend are among those $100$ students,then the probability that both of you are placed in the same section is

In a lottery,$50$ tickets are sold,in which $14$ are prize-winning tickets. If a man buys $2$ tickets,what is the probability that he wins at least one prize?

$A$ bag contains $5$ brown and $4$ white socks. If a man draws $2$ socks,what is the probability that they are of the same color?

$A$ basket contains $3$ mangoes and $3$ apples. If two fruits are selected at random,what is the probability of getting one mango and one apple?