The Emperor card game consists of three card types: the Emperor card, the Citizen card, and the Slave card. The Emperor card defeats the Citizen card, the Citizen carddefeats the Slave card, but the Slave card defeats the Emperor. Two Citizen cards make a draw. The game is played with one player having 1 Emperor card and 4 Citizencards (Emperor side), while the other player has 1 Slave card and 4 Citizen cards.To play a single round, both players choose 1 card from their hand, place the cards face down on the table, then both cards are revealed at the same time to reveal thewinner. If the result is a draw, the round continues to a second play with the previously played cards removed. The round ends at the second play, whether it is draw, or thereis a winner.Now, suppose that you are playing the Slave side for a single round. Assume that each of the 5 cards held by you and your opponent are equally likely to be played, at anypoint of the round. What is the probability that you win the round (you play the Slave card and the opponent plays their Emperor card)?Select one:O a. 0.04O b. 0.0025O c. 0.4O d. 0.08O e.0.25

GivenEmperor sideThe total cards with player =5The total number of Emperor card =1The total number…

Answered: The Emperor card game consists of three…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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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.
Dr. Lawrence plays in a 10-team dynasty football league, where the top six teams make the playoffs. If only getting into the playoffs matters, how many 6-team playoff 4. scenarios can be made?
A technology store holds a contest to attract shoppers. works: An ace and four other cards are shuffled and placed face down on a table. The customer gets to turn over cards one at a time, looking for the ace. The person wins $100 of store credit if the ace is the first card, $50 if it is the second card, and $20, $10, or $5 if it is the third, fourth, or last card chosen. What is the average dollar amount of store credit given away in the contest? Estimate with a simulation of 10 trials. Once an hour, someone at checkout is chosen at random to play in the contest Here's how it 67819 00354 91439 91073 49258 15992 41277 75111 67496 68430 09875 08990 27656 15871 23637 00952 97818 64234 50199 05715
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You have been asked to play a card game. A card is dealt from a complete deck offifty-two cards (no jokers). A deck has 4 aces, 4 kings, 4 queens, 4 jacks, and 36 other cards.It works like this:• If the card is a ace, you lose $4.• If the card is a king or jack, you lose $10.• If the card is a queen, you win $8.• If the card is anything else, you win $1.Find the expected value of the game. Write the excepted value rounded to the nearest cent
A teacher will randomly award three students with extra credit. How many possible ways can the teacher pick these three students from a class of 20 students?
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Four puppies, Bruno, Kitty, O'Reilly, and Sweetie, competed in the Annual Puppies of the World Fair. Prizes were awarded for the top three competitors as follows: first place received a Red Ribbon, second place received a Yellow Ribbon, and third place received a Blue Ribbon. Three members of the audience predicted how the prizes would be awarded. • Lucie predicted that Sweetie would win a Red Ribbon, Kitty would win a Yellow Ribbon, and O'Reilly would win a Blue Ribbon. • Jenn predicted that Bruno would win a Red Ribbon, Sweetie would win a Yellow Ribbon, and O'Reilly would win a Blue Ribbon. • Brenton predicted that Kitty would win a Red Ribbon, Bruno would win a Yellow Ribbon, and Sweetie would win a Blue Ribbon. It turns out that each audience member predicted exactly one prize winner correctly. Determine which dog won which prize.
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