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In: Statistics and Probability

Poker hands with ranking. Consider a regular deck of 52 cards as usual with 5 cards...

Poker hands with ranking. Consider a regular deck of 52 cards as usual with 5 cards dealt. You have learned all those 8 patterns: one pair, two pairs, three of a kind, straight, flush, full house, four of a kind, and straight flush (with royal flush a special kind of straight flush).

Note ace is counted as both 1 point and 14 points. So in counting straight, A2345 and 10JQKA are both valid.

Compute / derive the number of ways for these 8 patterns, show the formula and the numbers. Then rank these 8 patterns from highest rank royal flush with the number of ways to lowest rank one pair also with the number of ways. You may think of tabulating these as well to make it easy to read. Using C(104, 5), the number of hands (almost equal to 2.6 millions), also calculate and show the probabilities of each of these 8 ranks.

a)By using this 104 cards list and rank all 8 patterns.

b)Using C (104,5), the number of hands, calculate the probabilities.

Please help!!!

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orchestra answered 1 year ago
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