A deck of cards has 52 cards, half of which are black and half
are red. There are 4 suits (hearts which are red, spades which are
black, diamonds which are red, and clubs which are black.) Each
suit has 13 cards including an ace, a king, a queen, a jack, a ten,
a nine, an eight, a seven, a six, a five, a four a three, and a two.
la) Suppose two cards are drawn from a deck of 52 cards.
What is the probability that the first card is a king and the
second card is a king if the sampling is done without
replacement (the first card isn't put back before the second
card gets picked)? (5 points)
b) Suppose two cards are drawn from a deck of 52 cards.
What is the probability that the first card is a king and the
second card is a king if the sampling is done with
replacement (the first card is put back before the second
card gets picked)? (5 points)