Under a proposed new federal law, poker in US casinos would henceforthbe played with a 65 card deck called a Trump deck. It is the same as anordinary deck of 52 cards except for a fifth suit, called Trumps, that outranksthe others, so if no player has a scoring hand, the best card to hold is theace of Trumps. This creates one new hand, 5 of a kind, and changes theprobabilities of all the hands. Generally speaking, hands like 3 and 4 of akind become more common, and flushes become less common. The order offrequency is now royal flush, five of a kind, straight flush, four of a kind,flush, full house, straight, three of a kind, two pairs, one pair. (Definitions ofthe types of hands are easy to find online. The slides for Monday, November21 may also be helpful.)Count the total number of possible poker hands with a Trumpdeck, and the number of hands of each of the above kinds. Be carefulnot to count a hand twice for example, if a hand is a straight flush, then itdoesn't count as a flush, or as a straight; a full house doesn't count as 3 of akind, or as 2 pairs.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A friend of mine is giving a dinner party. His current wine supply includes 11 bottles of zinfandel, 9 of merlot, and 7 of cabernet (he only drinks red wine), all from different wineries. If 6 bottles are randomly selected, what is the probability that all of them are the same variety?
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Suppose you’re playing Texas Hold ’Em Poker, and you are dealt a hand witha Jack of Clubs and a Queen of Hearts. The river of 5 cards hasn’t been dealtyet, and you’re hoping to get a straight (5 cards with consecutive ranks, such as10,J,Q,K,A or 8,9,10,J,Q). What is the probability that you will get a straightthat uses both the Jack and Queen in your hand? (This last part is to keep theproblem simple, since it’s possible to get a straight that uses neither card in your hand, suchas A,2,3,4,5, all in the river. Besides, in those cases, ALL players would have a straight, sothat’s not so good for you!)Guide: Our goal is to calculate:P(straight using both cards in hand) = # 5-card combinations that get us a straight with the J & Q# 5-card combinations overall .(a) We’ll start with the denominator, which can be done with a singleformula from class: How many 5-card combinations are possible for theriver? (Keep in mind what is in your hand. Note that how many opponents you haveand what…
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students, 59% attend four-year institutions, and the attend two-year institutions. Males make up 44% of the students in the four-year institutions and 40% of the students in the two-year institutions. (a) Find the four probabilities for each combination of sex and type of institution in the following table. Be sure that your probabilities sum to 1. Male Female Four-year institution Two-year institution noilalugeg blo

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