Your friend has a coin-flipping game that hewants you to play. It cost you $2 eachtime. You flip two fair coins. If both coins aretails, then you get nothing back. If one ishead and one is tail, you get $1 back. If bothcoins are heads, then you get $5 back. Whatis the expected value of the game? Explainwhat this value means.The Declaration of Independence isapproximately 7,000 letters long. If you wereto pick 7,000 letters at random, what is theprobability that your letters spell out the entireDeclaration of Independence? What does theInfinite Monkey Theorem say about this?

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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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You are on a TV show. You have been asked to either play a dice game five times or accept a $120 bill. The dice game works like this: If you roll a 1 or 5, you win $50. If you roll a 4, you win $150. If you roll a 2, 3 or 6, you lose $30. Should you play the game? Answer yes or no. __________ Use expected values and decision theory to justify your answer. Please round the answer to two decimal places. Expected value of five games is $__________
In a bag there are 8 red balls, and 2 pink balls. You pay 3 dollars to draw 2 balls. If you draw 2 red balls you lose, if you draw a red and pink you win 8 dollars, and if you draw 2 pink you get 90 dollars. Find the expected value of this game and round you answer to the nearest cent.
A bag contains 5 gold marbles, 7 silver marbles, and 23 black marbles. The rules of the game are as follows: You randomly select one marble from the bag. If it is gold, you win $4, if it is silver, you win $3. If it costs $1 to play, what is your expected profit or loss if you play this game? $ Submit Question
You flip two fair coins. If both coins land heads you win $2. Otherwise you lose $1. What is the expectation of this game? Round your answer to the nearest cent.
A friend proposes a gamble to you. You roll 2 fair, six-sided dice, and add up the results of each die to find your total number. If your roll totals a 6 or 8, your friend pays you $30. If you roll any other total, you pay your friend $10. What is your expected payoff from playing this game 100 times?.
Roulette: You bet on numbers 1-18. What's the likelihood of winning after one trial? Explain your answer.
An adventurous aardvark is a card shark and gambler. He offered to let you play in a game with him. To play you must pay him $2. If you pick a spade you win $9 what is the expected value for you if you play this game with the aardvark?
You spin each spinner once. You get $46 if you spin a 2 and a vowel. You get $31 if you spin a 2 and a consonant. You get $7 if you spin a 1 and a vowel. Everything else earns $0. What is the expected value of this game? Round your answer to the second decimal if necessary
Your friend convinces you to play a game where you roll a standard die one time. It costs $5 to play the game. If you roll a 3 or a 4 you win $9. Any other roll wins nothing. 4. Find the expected value of this game.
A bag contains 3 red marbles, 9 white marbles, and 15 blue marbles. You randomly select one marble from the bag. If it is red, you win $4. If it is white, you win $2. If it is blue, you lose $1. What is your expected value when playing this game? Round your answer to the nearest cent.
Chandler offers you the opportunity to play his $2 game where he shuffles four cards and you must pick the correct one. What is the expected profit per person if the prize is a $1.25 coke for the game?Single line text.
The candy wheel at the boardwalk gives away an $ 8 box of candy to a person who successfully guesses the correct location from the 32 possible spaces. If the wheel cost $2 to play , what is the expected value of the candy wheel at the boardwalk? Describe what the answer is telling you about the boardwalk game.

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