Players in a die-toss game using a die with numbers 1 through 6 can win the following amounts: $2for an even number and the roll amount (in $) for an odd number ($1 for a 1; $3 for a 3, etc.).a. What are the expected earnings of this game?The expected earnings are $b. What should a person pay when playing in order for this to be a fair game?The player should pay $for the game.

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Answered: Players in a die-toss game using a die…

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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A particular gambling game pays 4 to 1 and has a 20% chance to win. Someone will bet $10, 125 times, and keep track of the total amount won or lost. Which of the following boxes will produce the right answers? Check ALL answers that apply. a. 1 ticket labeled $10 and 4 tickets labeled -$10 b. 20 tickets labeled $10 and 80 tickets labeled -$10 c. 20 tickets labeled 1 and 80 tickets labeled 0 d. 1 ticket labeled $40 and 4 tickets labeled -$10 e. 20 tickets labeled $40 and 80 tickets labeled -$10 f. 1 ticket labeled 1 and 4 tickets labeled 0
Ten thousand raffle tickets are sold for $2 each. One first prize of $1400, 3 second prizes of $800 each, and 9 third prizes of $400 each are to be awarded, with all winners selected randomly. If you purchase one ticket, what are your expected winnings? Round your answer to the nearest cent.
A game-show spinner has these odds of stopping on particular dollar values: 55% for $50, 20% for $100, 15% for $500, and 10% for $1000. What are the odds of a player winning $50 or $100?
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?.
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?
Assuming you were lucky enough to win and the pay off odds were 35:1, how much money would you get back? Dont forget to include your original $5 bet in your payout. $. DO NOT include $ sign in your answer.
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.
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.
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?
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.
A and B throw a die for a stake of Rs.44,000, which is to be won by the player who first throws the number 5. If A takes the first throw, what are their expectations ?

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