Alicia is playing a game by drawing a card from a standard deckand replacing it. If the card is an Ace card, Alicia win $100. If it isnot an Ace card, she pay $10. There are 4 Ace cards in a deck of52 cards.Should Alicia play the game?Yes, she is expected to win money in the long term.O No, she is expected to lose money in the long term.

Answered: Image /qna-images/answer/7e264d5e-cb2c-429c-85d6-e3760dfe8226.jpg

Answered: Alicia is playing a game by drawing a…

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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Three players enter a room and are given a red or a blue hat to wear. The color of each hat is determined by a fair coin toss. Players cannot see the color of their own hats, but do see the color of the other two players' hats. The game is won when at least one of the players correctly guesses the color of his own hat and no player gives an incorrect answer. In addition to having the opportunity to guess a color, players may also pass. Communication of any kind between players is not permissible after they have been given hats; however, they may agree on a group strategy beforehand. The players decided upon the following strategy. A player who sees that the other two players wear a hat with the same color guesses the opposite color for his/her own hat; otherwise, the player says nothing. What is the probability of winning the game under this strategy?
Shawn is playing a game with a set of cards. Half of them are blue and the other half are yellow. In the game, the player guesses the color of the top card, looks at the card, and returns the card to the deck. The player continues to do this, shuffling the deck after each guess. Shawn has guessed the first three attempts as "blue” and has been correct on each guess. He says he will guess "yellow” for the next card since a yellow card is due to happen. Is Shawn’s reasoning correct? Yes, Shawn has guessed well so far, so it is clear that he cannot miss. No, all of the cards have been blue so far, so the next one must also be blue. Yes, half of the cards are yellow, so the fourth card should be yellow to compensate for the first three cards being blue. No, the law of large numbers says that the proportion of yellow cards should approach the true probability after many trials.
You are going to a party with a friend. Both of you are supposed to take packets of chips and bottles of soft drink for the party. You shop together and buy the same brand of chips & drink. You spend $47.5 to buy 5 packets of chips and 10 bottles of soft drink. Your friend spends $64.5 to buy 3 packets of chips and 15 bottles of soft drink. Given this information determine the following: How much does the shop charge for a packet of chips? Please calculate this answer in dollars (enter the unit "$" with the answer) and round the final value to the nearest cent. Answer: How much does the shop charge for a bottle of soft drink? Please calculate this answer in dollars (enter the unit "$" with the answer) and round the final value to the nearest cent. Answer:
At a county fair, you pay $2 to play the following game: You are given a fair coin, and two bags standin front of you, labelled Bag A and Bag B. You flip a coin: If your coin lands Heads, you pick a ballfrom Bag A. If your coin lands tails, you pick a ball from Bag B. Each ball has a dollar value written onit, and you win the number of dollars shown on the ball. • Bag A contains four (4) balls in total: Three (3) balls show $1, and one (1) ball shows $5.• Bag B contains three (3) balls in total: Two (2) balls show $2, and one (1) ball shows $3.You WIN money if you leave with more money than you started with. You LOSE money if you leavewith less money than you started with. You BREAK EVEN if you leave with the same money that youstarted with.Let H denote the event that you flip heads, T denote the event that you flip tails, W the event that youwin, and L the event that you lose.(i) You pay to play exactly one game. What is the probability that you WIN given thatyou flipped a Heads?(ii)…
Zara and Sue play the following game. Each of them roll a fair six-sided die once. If Sue’s number is greater than or equal to Zara’s number, she wins the game. But if Sue rolled a number smaller than Zara’s number, then Zara rolls the die again. If Zara’s second roll gives a number that is less than or equal to Sue’s number, the game ends with a draw. If Zara’s second roll gives a number larger than Sue’s number, Zara wins the game. Find the probability that Zara wins the game and the probability that Sue wins the game. Note: Sue only rolls a die once. The second roll, if the game goes up to that point, is made only by Zara.
Billy and Joe are buddies that think they can outsmart the casino by splitting each other’s profits. They decided to play a game by the name of Baccarat. They both have $1200 and their goal is to leave once they double their money. In Baccarat, the Banker's or Player’s hand will win 45% of the time. Ties win 10% of the time. The goal in baccarat is to have the hand you’re betting on, either the player or the banker, be the best hand of the two dealt. The winning hand is the one with a score where the final digit is the closest to nine. Face cards are worth zero, and aces count as one. There are 8 decks in a shoe. Billy and Joe came up with a betting strategy/sequence and assigned “teams”. Billy will ALWAYS bet on “Player” whereas Joe will always bet on “Banker”. The sequence goes as follows: Billy: 12113 Joe: 21221Billy: $100, $200, $100, $100, $300 = $900Joe: $200, $100, $200, $200, $100 = $900The remaining $300 that Billy and Joe have will go towards taking turns on betting $5 on the…
You are playing a card game. If you pull an Ace you win $71, if you pull the King of hearts you win $101, if you pull a jack or a queen you win $37, all other pulls you lose. What price should you be charged to make this a fair game? Round your answer to the nearest hundredth.
A game involves drawing a single card from a standard deck. The player receives $10 for an ace, $5 for a king, and $1 for a red card that is neither an ace nor a king. Otherwise, the player receives nothing. If the cost of each draw is $2, should you play? Explain your answer mathematically.
Toward the end of a game of Scrabble you hold the letters D,O,G and Q. You can choose three of these four letters and arrange them in order in how many different ways?
An auction was held today at which 4 rare stamps were sold. Prices ranged from $40 to $55, at $5 increments. Determine the price and order of each auction lot, as well as the name of each winning bidder. One bidder's name was Aidan. 1. The stamp that was auctioned fourth was either the one won by Bo or the one that sold for $45. 2. The stamp won by Candi was either the one that was auctioned first or the one that sold for $50. 3. The stamp won by Devin sold for somewhat less than the stamp that was auctioned first. 4. The stamp that was auctioned first sold for 10 dollars less than the stamp that was auctioned second.
Mickey and Minnie are playing a game. They spin a spinner that has 11 equally sized pieces, 3 red, 2 blue, 1 green and 5 yellow. If the spinner lands on yellow, Minnie wins $7. If it lands on blue, Minnie wins $ 4. If it lands on any other section, Minnie loses money. In order for the game to be fair, Minnie must lose $ Blank 1. Calculate the answer by read surrounding text. if

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