A standard deck contains 52 cards (4 suits: spades, hearts,
diamonds, clubs; 13 cards in each suit). A flush is a five card
hand in which all of the cards are the same suit. (a) Determine how
many flushes are possible. (b) Determine the probability of being
dealt a flush. (c) A royal flush is a five card hand consisting of
10, J, Q, K, A, all of the same suit. Determine the probability of
being dealt a royal flush.