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Question: in texas hold em each player initially gets two cards...

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In Texas Hold em, each player initially gets two cards, and then five community cards are dealt in the center of the table. Each player makes his or her best five-card hand from the 3.31 seven cards. a. How many initial two-card starting hands are there? b. Many starting hands play the same way. For example, suits do not matter for a pair of Aces. Each pair of Aces plays the same (on average) as any other pair of Aces. The starting hands can be divided into three playing groups: both cards have the same rank (a pair), both cards are in the same suit (suited),or neither (off-suit). How many differently playing starting hands are in each group? How many differently playing starting hands are there in total? (Note that this answer is only about 1/8th the answer to the question above.) c. How many initial two-card hands correspond to each differently playing starting hand in the question above? Add them up, and show they total the number in the first question.

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