In: Statistics and Probability
Cards are dealt without replacement from a standard deck.
(a) Find the conditional probability that the second card is a club given that the first card
is club.
(b) Find the conditional probability that the second card is a club given that the second-to-
last card is a club.
(c) Find the conditional probability that the first card is a club given that none of the next
five cards are clubs.
(d) Find the expected number of clubs that appear before the king of diamonds.