If it is assumed that all525poker hands areequally likely,

Chapter 2, Problem 15

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If it is assumed that all525poker hands areequally likely, what is the probability of being dealt(a) a flush? (A hand is said to be a flush if all 5cards are of the same suit.)(b) one pair? (This occurs when the cards havedenominations a, a, b, c, d, where a, b, c, andd are all distinct.)(c) two pairs? (This occurs when the cards havedenominations a, a, b, b, c, where a, b, and care all distinct.)(d) three of a kind? (This occurs when the cardshave denominations a, a, a, b, c, where a, b,and c are all distinct.)(e) four of a kind? (This occurs when the cardshave denominations a, a, a, a, b.)

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