You play a game by drawing a card from a standard deck then replacing the drawn card. If you draw a king or a queen, you win Php 500. If you draw an ace, you win Php 800. However, you lose Php 650 for anything else. • If you continue to play the game, how much do you expect to win or lose in the game? • Is this a fair game? Why or why not?
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You play a game by drawing a card from a standard deck then replacing the drawn card. If you draw a king or a queen, you win Php 500. If you draw an ace, you win Php 800. However, you lose Php 650 for anything else.
• If you continue to play the game, how much do you expect to win or lose in the game?
• Is this a fair game? Why or why not?
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- FINITE REPETITION Alice and Bob are playing a repeated game in which a certain stage game is played twice in succession. All behaviour in the first period is observed by both players before the second period commences. In the stage game, Alice has 3 pure strategies and Bob has 2 pure strategies. How many pure strategies does Bob have in the repeated game? (If necessary, use a calculator to compute this number.) 2 6 2187 3 36 64 7 729 128 216 Please do fast ASAP fastLela must decide to go on a winter trip to norway with the hope of seeing northern light would yield a utility level of 2,000 but she has only a 50% chance that they will show during the days of her trip. making the trip without seeing the lights would yield a utility level of 100 and there is 50 % chance of this happening. what is lela's expected utilty if show goes on the trip? a. 2,100 b.1,050 c.42 d.950A lottery system has balls numbered 1 to 65 and randomly selects 6 of the lottery balls. There is only one prize of $ 10,000,000.00 which is awarded only it a lottery player selects the correct set of 6 lottery balls. a) If a lottery ticket costs $ 5.00, what is a lottery player's expected value? b) How much would the lottery prize have to be worth if it was to be a fair game? (Note: Include dollar signs in your answer)
- Domingo has a total wealth of $500,000 composed of a house worth $100,000 and $400,000 in cash. He keeps the cash in a safe deposit box, so that it is completely safe. However, there is a 10% chance that his house will burn down by the end of the year and be worth nothing and a 90% chance that nothing will happen to it. Without insurance, the expected value of his end-of-year wealth is: Select one: a. $410,000. b. $490,000. c. $450,000. d. $485,000.Question:- Suppose you own a house worth $500. However, there is a risk the house could burn down. If the house burns down, it will only be worth $25. There is a 5% chance the house burns down. However, you can buy insurance that will pay you if in the event the house burns down. Call the amount of insurance purchased K. The premium you have to pay for K dollars of insurance is 0.05×K. So, if hypothetically you wanted $100 of insurance, the premium would be $5. Assume you have log-utility u(x) = ln(x). What is the optimal amount of insurance, K ∗ ? (Note: the premium must be paid whether the house burns down or not.)Suppose you own a house worth $500. However, there is a risk the house could burn down. If the house burns down, it will only be worth $25. There is a 5% chance the house burns down. However, you can buy insurance that will pay you if in the event the house burns down. Call the amount of insurance purchased K. The premium you have to pay for K dollars of insurance is 0.05×K. So, if hypothetically you wanted $100 of insurance, the premium would be $5. Assume you have log-utility u(x) = ln(x). What is the optimal amount of insurance, K ∗ ? (Note: the premium must be paid whether the house burns down or not.)
- Givenu(x)=x0.5 Lottery A Probability 0.50 0.25 0.25 Outcome 64 16 0 For automatic grading, give all numerical answers to exactly two decimal places. Do not include currency signs 1) What is the expected value? (Give the answer as 36.00, not 36) 2) What is the expected utility? 3) What is the certainty equivalent? (Number only) 4) What is the risk premium? 5) Would this person rather receive 20 for sure than play Lottery A? (Answer should be Y or N for auto-grading to work) 6) (Harder) In many applications of expected utility, it is possible to lose money. The usual way of handling this is to interpret utility in terms of final wealth. Suppose it costs money to play this lottery. If starting wealth is 100, calculate the expected utility of playing lottery A if the price of playing is 15. Your answer should be to two decimal places. (Note: calculating the certainty equivalent of the lottery would be a little different than we've done in class. Squaring your EU result would give…A plaintiff believes that there is a 30% chance that he will winIf he wins, he will gain $50,000. It costs him $5000 in non‐recoverable litigation costs to take the case to court. If the plaintiff is risk‐neutral, which of the following is true? A) The plaintiff will take the case to court with an expected net‐gain of $10,000 B) The plaintiff will take the case to court with an expected net‐gain of $15,000 C) The plaintiff will not take the case to court because he is afraid of losing. D) None of the above3. (True, False, or Uncertain) The satisficing procedure is unlikely to perform well in an environment where the decision maker is learning about the options as she samples them.
- 24Q) In the table which of following is true. ? Explain it early and correctly.Q1. A farmer believes there is a 50-50 chance that the next growing season will be abnormally rainy. His expected utility function has the form Expected utility = 0.5lnYNR + 0.5lnYR Where and represent the farmers income in the state of ‘normal rain’ and ‘rainy’ respectively. Suppose the farmer must choose between two crops that promise the following income prospects Crop YNR YR Wheat $83,000 $10,000 Maize $83,000 $15000 What mix of wheat and maize would provide maximum expected utility to this farmer?Select 3 courses from a list of 7. How many different courses can be selected? Group of answer choices 7*6*5 = 210 (7*6*5)/3 = 70 (7*6*5)/(3*2*1) = 35 3*7 = 21 7*6 = 42