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A First Course in Probability (10th Edition)

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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One option in a roulette game is to bet $16 on red. (There are 18 red compartments, 18 black compartments, and two compartments that are neither red nor black.) If the ball lands on red, you get to keep the
$16 you paid to play the game and you are awarded $16. If the ball lands elsewhere, you are awarded nothing and the $16 that you bet is collected. Find the expected payback for this roulette game if you bet
$16 on red.
The expected payback is $
(Round to the nearest cent as needed.)
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XYZ company has designed a new lottery scratch-off game. The player is instructed to scratch off one spot: A, B, or C. A can reveal "loser," "win $1," or "win $50." B can reveal "loser" or "take a second chance." C can reveal "loser," or "win $500." On the second chance, the player is instructed to scratch off D or E. D can reveal "loser" or "win $1." E can reveal "loser" or "win $10." The probabilities at A are 0.9, 0.09, and 0.01 respectively. The probabilities at B are 0.8 and 0.2. The probabilities at Care 0.999 and 0.001. The probabilities at D are 0.95 and 0.05. The probabilities at E are 0.5 and 0.5. Calculate the expected value of the game and provide recommendations to a decision-maker
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
QUESTION 10. A casino offers a game that it calls "five in a row". The rules of the game are simple: Pick a color, either red or black. Take a well-shuffled ordinary deck of 52 cards and pick 5 cards anywhere in the deck. If you pick 5 in a row of the color you chose, you win. Otherwise, you lose. You have to pay $10 for the chance to play this game, and you get $360 if you win. A standard deck has 26 red cards and 26 black cards. 60 971 to nois91 123W Calculate the expected value of playing this game in the casino. In other words, for each $10 that you spend in order to play this game, how much money should you expect to win back? noiges
A game show spinner has these odds of stopping on a particular dollar values: 40% for $5, 25% for $100, 20% for $500, and 15% for $1000. What are the odds of a player winning $500 or $1000?
Intermediate Problems 9 15 Stick or Roll Stick or roll is a game involving two players, A and B, and a die with four faces (numbered 1, 2, 3, 4). The faces are equally likely to occur when the die is rolled. Player A rolls the die once and sticks with that number as the score or rolls it again and scores the sum of the two numbers. . If A's score is greater than 4 then A loses. . If A's score is 4 then A wins. If A's score is less than 4, then B rolls the die once and sticks with that number as the score or rolls it again and scores the sum of the two numbers. . If B's score is greater than 4 then B loses. If B's score is 4 or less and equal to A's or less, then B loses. If B's score is 4 or less and greater than A's, then B wins. Player B sticks on the first roll if that number wins and rolls again if it doesn't win and it is possible to win with a second roll. Some example games might be: * A rolls a 2, chooses to roll again and rolls a 3. A's score is then 5 so A loses and B wins. *…
Problem 4. You are to play the following game of cards. Cards are worth their face value, Jacks, Queens and Kings are also worth 10 and Aces are worth 11. You pull precisely two cards from a standard deck and if their sum is at least 20, then you win the game and are given a prize of cash. It costs you $10 to play the game. At least how much should the prize be in order to make your expected winnings positive? Note that if the sum of your cards is less than 20 then you lose your $10.
There is a game of chance called "Lightning Dice" at a charity carnival. It costs $2 to play. The player then rolls 4 dice. If the player rolls 3 or more sixes, then the player wins $30. Otherwise, the player wins nothing. How much can you expect to gain or lose if you play this game 68 times?
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?.
QUESTION 10. A casino offers a game that it calls "five in a row". The rules of the game are simple: Pick a color, either red or black. Take a well-shuffled ordinary deck of 52 cards and pick 5 cards anywhere in the deck. If you pick 5 in a row of the color you chose, you win. Otherwise, you lose. You have to pay $10 for the chance to play this game, and you get $360 if you win. A standard deck has 26 red cards and 26 black cards. Calculate the expected value of playing this game in the casino. In other words, for each $10 that you spend in order to play this game, how much money should you expect to win back? Insbuie sdorli yilidad og in Colomal aw drabute sib yillidsdorg sdt belle betov trebutz & Jerit nevid d sicbibnso trons not bistov to sisM zew Insbute 6383 lidsdong and brid bns eloy Jo doig ar zi 15/W b 29110g016 HAS
For the wheel pictured on the right, assume that a person spins the pointer and is awarded the amount indicated by the pointer. If it costs $3 to play the game, determine (a) the expectation of a person who plays the game and (b) the fair price to play the game. $4 S7
As shown above, a classic deck of cards is made up of 52 cards, 4 suits with clubs and spades black and diamonds and hearts red. There are 13 cards each suit: #2-10, jack, queen, king, and an ace. Picture (or face) cards are the jack, queen, and king.If you select a card at random, what is the probability of picking a Club? Enter your answer as a reduced fraction.

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