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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Unlike craps and roulette, where each throw or spin is independent of the one before it, in blackjack the probabilities for the next card depend on the cards that have been dealt so far. Since the dealer never changes his strategy, the player can overcome the house advantage by carefully counting the cards that have been dealt and betting more when his odds of winning are better. (a) What is the probability that the first card dealt will be a face card (a jack, queen or king)? (b) At what points in the deal can the probability of a face card be the same as it was at the start? (c) What is the probability that the next card dealt will be a face card if the 12 cards dealt so far have been J829K6Q9A3K4?
Here are three lotteries played by three individuals that cost $100. Could you tell whether they are risk-neutral, risk-seeking(loving) or risk-averse? the percentages in () are the probabilities associated with the events. 1)Win (50%): gets $180, lose (50%): gets $40; 2)Win (50%): gets $160, lose (50%): $0; 3)Win (20%): gets $300, lose (80%): gets $50. which one of these individuals are more likely to pursue entrepreneurship? Briefly explain why.
Clue is a board game in which you must deduce three details surrounding a murder. In the original game of Clue, the guilty person can be chosen from 66 people, and there are 66 different possible weapons and 99 possible rooms. At one point in the game, you have narrowed the possibilities down to 33 people, 55 weapons, and 44 rooms. What is the probability of making a random guess of the guilty person, murder weapon, and location from your narrowed-down choices, and the guess being correct? Enter a fraction or round your answer to 44 decimal places, if necessary.
In regular poker where each player is dealt a 5-card hand (no river of sharedcards), what is the probability that you get a two-pair? (A two-pair is a hand with onepair of the same rank, one pair of a different rank, and a single card of a third rank. Forexample, 7 Clubs, 7 Diamonds, 2 Hearts, 2 Spades, K Diamonds.)
Luella has a bag with three Hershey Kisses, two Reese's Cups, five York Peppermint Patties, and a Jolly Rancher. What is the probability that Luella will pull out a Hershey's Kiss.leat it, and then pull out a York Peppermint Patty?
In an amusement arcade there is a horse race with horses coloured red, yellow and green. Only one player can play this game at any time and the outcomes of each race are independent of previous races. You can either bet 10p or 20p. If you bet 10p then each horse is equally likely to win. If you bet 20p the corresponding probabilities are 50%, 30% and 20%, respectively. Three times as many people bet 10p as do 20p. Given red wins, what is the probability it had been a 20p bet? 0.333 0.300 0.313 0.298
You are dealt two cards from a standard deck of 52 cards. What is the probability that the two cards can be classified as a red card and a face card (in either order)?
A bag has 12 different-colored marbles: 4 green, 5 blue, 1 yellow, and 2 orange. You draw a marble from the bag. If you get an orange marble or yellow marble, you win a prize. Based on the scenario, answer the following question: Is it more likely that players will win or lose playing the game?
Evan is ordering dessert, and he wants the fudge pie. The waitress tells him that he can have up to four toppings: ice cream, chocolate sauce, whipped cream, and a cherry. Since he cannot decide how many of the toppings he wants, he tells the waitress to surprise him. If the waitress randomly chooses which toppings to add, what is the probability that Evan gets just chocolate sauce, and a cherry.
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?
Please help!!! Q4. Ariana and Bella are playing a game. They each have 4 cards, which are numbered 1, 2, 3 and 4. Each shuffles her own cards and turns one over at random. If the cards show the same number, Ariana wins and Bella must pay Ariana $3. If the cards show different numbers, Bella wins and Ariana must pay Bella $1. By finding the probabilities of Ariana and Bella winning, show whether or not the game is fair.
Samatya supermarket is planning to order souvenir cups for the upcoming national feast. The cups cost $5 and sells for $20 each. The managers believe that the demand will be 500 cups with 20% probability, 1000 cups with 50% probability and 1500 cups with 30% probability. They plan to order 600, 1000 or 1300 cups. They have the opportunity to order 200 cups more for with a $15 per cup cost if the demand comes out as 1500 cups. The cups left on hand will be scrapped as there will be no more demand for them. Draw and solve the decision tree for this problem.

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