Question

If you are dealt 44 cards from a shuffled deck of 52​ cards, find the probability of getting oneone queenqueen and threethree kingskings.

Answer 1

There are 4 queens and 4 kings in a standard deck, and we don't seem to care about the order in which these particular cards are drawn. So the probability is

$\dfrac{\binom41\binom43}{\binom{52}4}=\dfrac{24}{270,275}$