##### Reference no: EM13245990

In the *Poker* game, a hand is a set of 5 cards chosen randomly from a usual deck of 52 cards.

1 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.

2 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.

3 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.

4 What is the probability of one hand of *Poker* be a *two pair*?(2 cards in each of 2 different ranks, and a 5^{th} card of a third rank, for example, two Aces, two Jacks and one 10). Explain.