Question: 2019 Winter Final - 12
In a standard deck of 52 cards, each card has a suit and a rank.
There are four suits (spades ♠, hearts ♡, clubs ♣, and diamonds ♢), and 13 ranks
(Ace, 2,3,4,5,6,7,8,9,10, Jack, Queen, and King).
Assume you get a uniformly random hand consisting of 5 cards. What is the probability that the 5 cards in this hand consist of 3 Aces and 2 Queens?
Assume you get a uniformly random hand consisting of 5 cards. What is the probability that the 5 cards in this hand consist of 3 Aces and 2 Queens?
(a)
$\left. 27 \middle/ {52 \choose 5} \right.$
(b)
$\left. 25 \middle/ {52 \choose 5} \right.$
(c)
$\left. 26 \middle/ {52 \choose 5} \right.$
(d)
$\left. 24 \middle/ {52 \choose 5} \right.$