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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Consider the following game. You are to toss three fair coins. If three heads turn up, your friend pays you $40. Otherwise, you must pay him $5. What is your expected gain or loss? 0.525 a. 0.625 Ob. 0.875 C. Od. 1235 0.125 Oe.
Roulette. A roulette wheel has 38 slots. One slot is 0, another is 00, and the others are numbered 1 through 36, respectively. When you bet that the outcome is a 00. the payoff odds are 35:1. How much profit do you make if you bet $28 and win? $630 O $18 $980 O $36 5 pts Question 10
A game-show spinner has these odds of stopping on particular dollar values: 55% for $5, 20% for $50, 15% for $500, and 10% for $1000. What are the odds of a player winning $500 or $1000?
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
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?
D The chances of winning are often written in terms of odds rather than probabilities. The odds of winning is the ratio of the number of successful outcomes to the number of unsuccessful outcomes. The odds of losing is the ratio of the number of unsuccessful outcomes to the number of successful outcomes. For example, if the number of successful outcomes is 2 and the number of 2 unsuccessful outcomes is 3, the odds of winning are 2:3 (read "2 to 3") or. A card is picked at random from a standard deck of 52 playing cards. Find the odds that it is a spade. new an example Ask my instructor ✓ The odds that it is a spade are (Simplify your answer) PBSC A&P 2 Lapptx A 3 E D F с $ 4 R F 2 V PBSC A&P 2 Lapptx %6 5 T G B 6 MacBook Air Y H 7 PBSC A&P 2 La...pptx N 17 U J 8 M FALL F I ( 9 K PBSC A&P 2 La...pptx ** O O L command P 1 - Clear all : ; t { option ? I 11 I Check answer Show All *** 1 delete retu
Activity #4: PROBABILITY Read and analyze the problems, show your solution, and box the answer. 1. What would be the probability of a. picking a black card at random from a standard deck of 52 cards? b. picking a face card (i.e. a king, queen, or jack)? c. not picking a face card? 2. What is the probability of rolling, on a fair dice: a. a 3? b. an even number? c. zero? d. a number greater than 4? e. a number lying between 0 and 72 f. a multiple of 3 given that an even number was drawn? 3. A standard deck of playing cards is well shuffled and from it, you are given two cards. You can have 0, 1, or 2 aces: three possibilities altogether. So, the probability that you have two aces is equal to 1/3. What is flawed about this argument? 4. You shuffle a deck of playing card, and then start turning the cards one at a time. The first one is black. The second one is also a black card. So is the third, and this happens up to the 10th card. You start thinking, "the next one will likely be red!"…
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?
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.
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?

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