A lottery offers one $1000 prize, two $700 prizes, three $400 prizes, and five $100 prizes. One thousand tickets are sold at $7 each. Find the expectation if a person buys four tickets. Assume that the player's ticket is replaced after each draw and that the same ticket can win more than one prize. Round to two decimal places for currency problems The expectation of a person buys four tickets is… dollars
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- Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck .If both cards are diamonds, you friend will pay you $29 otherwise you have to pay your friend $4. If this same bet is made 891 times, how much would you except to win or lose. Round your answer to two decimal places. Losses must be expressed as negative values.Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are spades, your friend will pay you $$19. Otherwise, you have to pay your friend $4$. Step 2 of 2 : If this same bet is made 839 times, how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values.Suppose a charitable organization decides to raise money by raffling a trip worth $500. If 3,000 tickets are sold at $1.00 each, find the expected net winnings for a person who buys 1 ticket.
- A raffle offers a first prize of $1000, 2 second prizes of $300, and 20 third prizes of $10 each. If 15000 tickets are sold at 75 cents each, find the expected winnings for a person buying 1 ticket.A pair of fair dice is rolled once. Suppose that you lose $10 if the dice sum to 10 and win $11 if the dice sum to 3 or 12. How much should you win or lose if any other number turns up in order for the game to be fair? To keep the game fair, you should $ if the dice sum to any other number. (Do not round until the final answer. Then round to the nearest cent as needed.)You are bidding for an antique trombone in a sealed bid auction. All of your bids must be in increments of $10. You value the trombone at exactly $2,105, and guess that each time the price drops one $10 increment there is a 4% chance that someone else will bid (Assume that if you both bid then they other bidder gets it, as they bid a multiple of $10 plus $1..). The trombone goes to the highest bidder, the “winner” of the auction. Which of the following numbers represents a difference between the amount you should bid if the winner pays the amount they bid vs. if the winner pays an amount equal to the second-highest bid? a) $0 b) $80 c) $240 d) $250
- Suppose you buy 1 ticket for $1 out of a lottery of 1,000 tickets where the prize for the one winning ticket is to be $500.Winners do not have their ticket costs of $1 refunded to them. What are your expected winnings? A. − $0.50B. − $0.40C. − $1.00D. $0.00A new game is being introduced at the Hard Rock Cafe. A ball is spun around a wheel until it comes to rest in one of many spots. Whatever is listed in that spot will be the player's winnings. If the wheel has 20 spots labeled $1, 13 spots labeled $2, and 2 spots labeled $10, how much should a player expect to win on average? Round to the nearest cent. Your Answer:Miguel is playing a game in which a box contains four chips with numbers written on them. Two of the chips have the number 1, one chip has the number 3, and the other chip has the number 5. Miguel must choose two chips, and if both chips have the same number, he wins $2. If the two chips he chooses have different numbers, he loses $1 (–$1). Let X = the amount of money Miguel will receive or owe. Fill out the missing values in the table. (Hint: The total possible outcomes are six because there are four chips and you are choosing two of them.) Xi 2 –1 P(xi) What is Miguel’s expected value from playing the game? Based on the expected value in the previous step, how much money should Miguel expect to win or lose each time he plays? What value should be assigned to choosing two chips with the number 1 to make the game fair? Explain your answer using a complete sentence and/or an equation. A game at the…
- You pay $11 to play a game where you draw a numbered ball from a bucket containing 12 identical balls numbered 1-12. If you draw a ball numbered less than 3 (1.e. 1 or 2), you win a dollar amount equal to the number on the ball. If you draw a ball numbered with a multiple of 3, you win $3. If you draw a ball with any other number, you win nothing. Let X be your net winnings. Create the probability distribution for X. Enter the values of X in ascending order from left to right. All answers should be exact. X P(X) 0 1/2 Submit Answer X ✓ 1 1/12 X ✓ 2 1/12 X ✓ 3 1/3 X ✓A new game is being introduced at the Hard Rock Cafe. A ball is spun around a wheel until it comes to rest in one of many spots. Whatever is listed in that spot will be the player's winnings. If the wheel has 7 spots labeled $1, 9 spots labeled $2, and 9 spots labeled $10, how much should a player expect to win on average? Round to the nearest cent.In a gambling game, a woman is paid $5 if she draws a jack, a three, or a six and $6 if she draws a two, an ace, or a ten from an ordinary deck of 52 playing cards. If she draws any other card, she loses. How much should she pay to play if the game is fair? If the game is fair, the woman should play $ to play. (Type an integer or a decimal. Round to the nearest cent as needed.)