Question: 2014 Winter Midterm - 14
A standard deck of 52 cards has 4 Kings. Consider a hand of 9 cards, chosen uniformly at random.
What is the probability that there are exactly two Kings in this hand?
(a)
$\left. \bigl\{ {4 \choose 2} + {48 \choose 7} \bigr\} \middle/ {52 \choose 9} \right.$
(b)
$\left. {4 \choose 2}{48 \choose 7} \middle/ {52 \choose 9} \right.$
(c)
$\left. {52 \choose 9} \middle/ \bigl\{ {4 \choose 2}{48 \choose 7} \bigr\} \right.$
(d)
$1 - \left. {48 \choose 7} \middle/ {52 \choose 9} \right.$