Out of $3$ men,$2$ women,and $4$ children,if $4$ people are selected at random,what is the probability that exactly $2$ children are selected?

$A$ deck consists of $4$ Aces,$4$ Kings,$4$ Queens,and $4$ Jacks. If $2$ cards are drawn at random from this deck of $16$ cards,what is the probability that at least one card is an Ace?

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

$A$ bag contains $5$ white and $3$ black balls. If two balls are drawn at random,what is the probability that one ball is white and the other is black?

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

An old man forgets the last two digits of a telephone number. He dials these two digits randomly. What is the probability that he dials the correct number?