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

$A$ 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.

$A$ bag contains $4$ white,$5$ red and $6$ black balls. If two balls are drawn at random,then the probability that one of them is white is

If five-digit numbers are formed from the digits $0, 1, 2, 3, 4$ using every digit exactly once,then the probability that a randomly chosen number from those numbers is divisible by $4$ is:

In a certain lottery,$10,000$ tickets are sold and $10$ equal prizes are awarded. What is the probability of not getting a prize if you buy $10$ tickets?

Out of the first $5$ consecutive natural numbers,if two different numbers $x$ and $y$ are chosen at random,then the probability that $x^4 - y^4$ is divisible by $5$ is