In seven-card stud you receive seven cards and use them to make the best poker hand you

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In seven-card stud you receive seven cards and use them to make the best poker hand you can. Ignoring the possibility of a straight or a flush the probability that the best hand you can make with your cards is

(a) four of a kind, (b) a full house, (c) three of a kind (d) two pair (e) one pair (f) no pair seven cards

Verify the probabilities for seven card stud. Hint: For full house you need to consider hand patterns: 3-3-1 and 3-2-2 in addition to the more likely 3-2-1-1. For two pair you also have to consider the possibility of three pair.

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