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A standard deck of cards contains 52 cards. There are 13 cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen %

A standard deck of cards contains 52 cards. There are 13 cards (Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen % King) in each of four suits (Clubs, Diamonds, Hearts and Spades). In the game of Texas Hold'em poker, each player is randomly dealt two cards from a single deck.

(a) The best starting hand in Texas Hold'em poker is a pair of Aces. What is the probability of getting dealt two Aces?

(b) What is the probability of getting dealt two face cards? (A face card is a Jack, Queen or King.)

(c) If one of your two cards is an Ace, and there are five other players at the table, what is the probability that none of them has an Ace?

(Use the equal likelihood model and combinations)

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