Question: In the Poker game, a hand is a set of 5 cards chosen randomly from a usual deck of 52 cards.
a) How many straight flush possible hands exist in Poker? (5 cards of 5 consecutive ranks, all in 1 suit, including Aces, Kings, Queens and Jacks). Explain.
b) How many full house possible hands exist in Poker? (3 cards of the same rank and 2 of another rank, for example, 3 Aces and 2 Jacks). Explain.
c) What is the probability of one hand of Poker be a flush? (5 cards of 1 suit, for example, 2, 5, Ace, Jack and 10 of hearts). Explain.
d) What is the probability of one hand of Poker be a two pair? (2 cards in each of 2 different ranks, and a 5th card of a third rank, for example, two Aces, two Jacks and one 10). Explain.