What is the probability of drawing two kings from a well-shuffled deck of $52$ cards?

Two persons $A$ and $B$ throw a pair of dice alternately until one of them gets the sum of the numbers appeared on the dice as $4$,and the person who gets this result first is declared as the winner. If $A$ starts the game,then the probability that $B$ wins the game is:

If a person throws $3$ dice,what is the probability that the sum of the numbers obtained is exactly $15$?

Out of $13$ applicants for a job,there are $5$ women and $8$ men. It is desired to select $2$ persons for the job. The probability that at least one of the selected persons will be a woman is

Cards are drawn one by one at random from a well-shuffled full pack of $52$ cards until two aces are obtained for the first time. If $N$ is the number of cards required to be drawn,then $P(N = n)$,where $2 \le n \le 50$,is

If $4$ cards are drawn one by one from a deck of $52$ cards,what is the probability that each card belongs to a different suit?