Suppose new rules are set for the same game. Everyone pays $2 per roll. Two diceare rolled and the outcomes are summed. This time:. Player A wins $4 if the sum is 5 or less•Player B wins $2 if the sum is 6, 7 or 8Player C wins $4 if the sum is 9 or more.•(a) Find the expected value for each player and explain its meaning.

Let's denote the events as follows:Event E1 : The sum is 5 or less.Event E2 : The sum is 6, 7, or…

Answered: Suppose new rules are set for the same…

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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Hector plays a game with a friend. They have a bag which contains 13 red stones and 3 black stones. They pay $1 and pull out a stone. If the stone is black, Hector wins $6. If the stone is red, Hector wins nothing.. What is the expected value of the game?
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.
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.
You toss a coin three times. If you toss heads exactly two times, you win $2. If you toss heads all three times, you win $8. Otherwise, you lose $3. What is the expected payout for one round of this game? Round your answer to the nearest cent. Enter an expected loss as a negative number.
The table below shows the probability of winning 0-5 dollars playing a game. Amount Won ($) 0 1 2 3 4 5 Probability 4/24 7/24 7/24 3/24 2/24 1/24 The stallholder charges $2.50 for each playing of the game. How much money can the stallholder expect to make for the charity on a day when there are 400 plays of the game?
Rodney is going to shoot a total of 9 free-throws to prove he is a better shooter than Chris. During warm-ups Rodney can make 57% of practice shots. The challenge results are as follows… • 9 hits Rodney wins $100 • 6-8 hits Rodney wins $25 • 4-5 No one wins • 0-3 hits Chris wins $15 What is the probability that Rodney makes 7 shot?
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?
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.

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