QUESTION 2A certain game consists of drawing a ball from the urn containing 15 green, 6 red, and 35 blue balls.You pay $3 to play the game (that must be subtracted from the winnings).If you draw a green ball, you win $4.If you draw a red ball, you win $20.Otherwise, you lose the money you paid to play the game.What is the expected value of the game? $Do you expect to lose or to win?What should be the price of the game to make the game fair? $Round the answers to the nearest cent as needed.Type WIN or LOSE.

(a) We have to find the what is the expected value of the game. (b) We have to find the expect to…

Answered: A certain game consists of drawing a…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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
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 pay $3.50 to play the following game:Each of two fair dice are numbered with 3 on one side, a 2 on two sides, and a 1 on three sides.The dice are rolled once and you are returned the dollar amount corresponding to the sum on thefaces. What is the expected earning from the game?
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 certain game involves tossing 3 fair coins, and it pays 11¢ for 3 heads, 7¢ for 2 heads, and 4e for 1 head. Is 7¢a fair price to pay to play this game? That is, does the 7¢ cost to play make the game fair? .... The 7¢ cost to play a fair price to pay because the expected winnings are (Type an integer or a fraction. Simplify your answer.)
Suppose it costs $29 to roll a pair of dice. You get paid 4 dollars times the sum of the numbers that appear on the dice. What is the expected payoff of the game? Is it a fair game? The expected payoff of the game is $? is it a fair game?
An exclusive raffle is being held where only 7 tickets are available. The raffle is free to enter. If you choose to play, you could win $7 or lose $3. Three tickets are winning tickets and you will win $7 if your ticket is drawn. Four tickets are losing tickets where you must pay $3 if your ticket is drawn. What is the expected return if you enter the raffle?
A certain game involves tossing 3 fair coins, and it pays 13¢ for 3 heads, 6¢ for 2 heads, and 2¢ for 1 head. Is 6¢ a fair price to pay to play this game? That is, does the 6¢ cost to play make the game fair? The 6¢ cost to play is not a fair price to pay because the expected winnings are (Type an integer or a fraction. Simplify your answer.) c.
In a game, you roll a die. If you get a 1 or a 5, you would win $5. If you roll a 4 you win $15 and if you roll a 2, 3, or 6 you lose $10. What is the expected value of one roll of the die? Type a response

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