Two cards are drawn without replacement from a well-shuffled pack. Find the probability that one of them is an ace of hearts.

$A$ committee of two persons is selected from two men and two women. What is the probability that the committee will have two men?

$A$ five-digit number is formed by the digits $1, 2, 3, 4, 5$ with no digit being repeated. The probability that the number is divisible by $4$ 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?

$A$ total of $13$ people,consisting of $5$ women and $8$ men,have applied for a job. If $2$ people are to be selected from these $13$ people,what is the probability that at least one woman is selected?

$A$ box contains $4$ defective and $6$ good machines. Two machines are selected at random without replacement. Find the probability that both the machines are good.