5. In the "long run," what is the expected profit, or loss, per game if you pay $2 to play a game and receive $10 if you throw a "doubles" on a single throw of a pair of dice?
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- In craps, if a player bets on a 5 coming up on the next roll, and the player is paid at net 8-to-1 odds, what is th net payoff on a $20 bet? (a) $20 (b) $140 (c) $160 (d) $180A "psychic" runs the following ad in a magazine: Expecting a baby? Renowned psychic will tell you the sex of the unborn child from any photograph of the mother.Cost, $20. Money‑back guarantee. This may be a profitable con game. Suppose that the psychic simply replies "boy" to all inquiries. In the worst case, everyone who has a girl will ask for her money back. Sex of child Probability The psychic's profit Boy 0.51 Girl 0.49 The expected value of the psychic's profit is the average dollar amount kept from customer (ignoring any postage costs). Find the expected value of the psychic's profit by filling in the boxes below with you answers. Use decimal notation. If your answer is not a whole number, round to the nearest tenths place. Psychic's profit for Boy: $ Psychic's profit for Girl: $ Expected value: $A game-show spinner has these odds of stopping on particular dollar values: 55% for $5, 20% for $25, 15% for $100, and 10% for $1000. What are the odds of a player winning $5 or $25?
- I'm having a difficult time answering the following question from the textbook. The answer I come up with is $9,035. I get this by (for each row) multiplying the probability by the number of units and multiply that product by the price . I then add the products from each row to come to the total of $9,035. Is my methodology for answering this question correct, or am I doing the process incorrectly? What Is there a specific fighure(s) in Chapter 4 that would help to understand this process better? The question is below: The Alliance Corp. expects to sell the following number of units of copper cables at the prices indicated, under three different scenarios in the economy. The probability of each outcome is indicated. What is the expected value of the total sales projection? Outcome Probability Units Price A 0.70 225 $20 B 0.10 370 35 C 0.20 510 45A player tosses two fair coins. He wins $ 5 if 2 heads occur, $ 2 if 1 head occurs and 1 if no head occurs. (i) (ii) Find his expected gain. How much should he pay to play the game if it is to be fair?Suppose it costs $20 to roll a pair of dice. You get paid $3 times the sum of the numbers that appear on the dice. Is it a fair game? ... .. because the expected value of the game (without considering the cost) is $ arest cent as needed.) No, Yes,
- Suppose you are playing a game of chance if you get $5 on a certain event you will collect $115 including the $5 bet if you win find the odds used for determining the payoffAn option to buy a stock is priced at $210. If the stock closes above 30 on May 15, the option will be worth $900. If it closes below 20, the option will be worth nothing, and if it closes between 20 and 30 (inclusively), the option will be worth $180. A trader thinks there is a 45% chance that the stock will close in the 20–30 range, a 25% chance that it will close above 30, and a 30% chance that it will fall below 20 on May 15. How much do they expect to gain? Should they buy the stock option? Explain.If you charge $3 to play a game of chance and the expected value is - $2, then what is the fair price?
- A firm making production plans believes there is a 30% probability the price will be $10, a 50% probability the price will be $15, and a 20% probability the price will be $20. The manager must decide whether to produce 6,000 units of output (A), 8,000 units (B) or 10,000 units (C). The following table shows 9 possible outcomes depending on the output chosen and the actual price. Production Profit (Loss) when price is $10 $15 $20 6,000 (A) −$200 $400 $1,000 8,000 (B) −$400 $600 $1,600 10,000 (C) −$1,000 $800 $3,000 What is the variance if 6,000 units are produced?c) A manufacturer is considering the production of a new and better mousetrap. She estimates the probability that the new mousetrap is successful is ¾. If it is successful, it would generate profits of $174,000. The development costs of the mousetrap are $121,000. Should the manufacturer proceed with plans for the new mousetrap? Why or why not?Charlie buys a one-year term home insurance policy for $p, that will pay $200,000 in the event of a major catastrophe and $35,000 in the event of a minor catastrophe. Charlie's home has a 0.2% chance of a major catastrophe and a 0.7% of a minor catastrophe during the one year term. What did the insurance company charge Charlie for this policy if the company expected to break even?