You have inherited a lottery ticket may be a $10,000 winner. You have a 0.25 chance of winning the $10,000 and a 0.75 chance of winning $0. You have an opportunity to sell the lottery ticket for $2,500. What is your expected return and what should you do if you are risk averse?
You have inherited a lottery ticket may be a $10,000 winner. You have a 0.25 chance...
You own a lottery ticket, which has a 1 percent chance (0.01) of winning $1,000. Someone has offered you 12 dollars to buy this ticket and you refused, what does that indicate in terms of your risk preference (i.e. risk-averse, risk-neutral or risk-loving)? Explain (simple calculations will be needed). Afterward, your friend Jennifer commented: “You should have accepted that offer. I would sell the ticket for 9 dollars!” What does that comment indicate in terms of Jennifer’s risk preference? Explain...
For a multistate lottery, the following probability distribution represents the cash prizes of the lottery with their corresponding probabilities. Complete parts (a) through (c) below. X (cash prize, $) Grand prize 200,000 10,000 100 P(x) 0.00000000877 0.00000023 0.000001734 0.000147996 0.004260186 0.008970789 .01261213 0.97400692623 4 3 0 0 (a) If the grand prize is $13,000,000, find and interpret the expected cash prize. If a ticket costs $1, what is your expected profit from one ticket? The expected cash prize is $...
If you buy a lottery ticket in 50 lotteries, in each of which your chance of winning a prize is 1/100, what is the (approximate) probability that you will win a prize? A.) at least once? B.) exactly once? C.) at least twice? D.) How many times do you expect to win?
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P(x) For a multistate lottery, the following probability x (cash prize, distribution represents the cash prizes of the lottery Grand prize with their corresponding probabilities. Complete parts 200,000 (a) through (c) below. 10,000 100 0.00000000562|| 0.00000012 0.000001831 10 000156178 0.005556668 0.008631032 0.01493052 0.97072364538 Question Viewer (a) If the grand prize is $13,000,000 find and interpret the expected cash prize. If a ticket costs $1, what is your expected profit from one ticket? The expected cash prize is...
2. Consider two lotteries, A and B. With lottery A, there is a 0.90 chance that you receive a payoff of S0 and a 0.10 chance that you receive a payoff of $400. With lottery B, there is a 0.50 chance that you receive a payoff of S30 and a 0.50 chance that you receive a payoff of $50, a) Verify that these two lotteries have the same expected value but that lottery A has a bigger variance than lottery...
The chance of winning a lottery game is 1 in approximately 26 million. Suppose you buy a $1 lottery ticket in anticipation of winning the $4 million grand prize. Calculate your expected net winnings for this single ticket. Interpret the result. Find μ=E(x). μ=____________________(Round to the nearest hundredth as needed. Do not include the $ symbol in youranswer.)
The chance of winning a lottery game is 1 in approximately 23 million. Suppose you buy a $1 lottery ticket in anticipation of winning the $6 million grand prize. Calculate your expected net winnings for this single ticket. Interpret the result. Find μ = E(x) μ=
A lottery ticket costs 10 dollars. You have a 2% chance to win 400 dollars, otherwise you win nothing. Write down a probability distribution table for the random variable X = net gain = (amount won)-(ticket cost), and nd its expected value (hint: answer is an integer). Should you play or not
Problem 13-27 (Algorithmic) In a certain state lottery, a lottery ticket costs $3. In terms of the decision to purchase or not to purchase a lottery ticket, suppose that the following payoff table applies: State of Nature Win Lose Decision Alternatives s1 s2 Purchase Lottery Ticket, d1 450000 -3 Do Not Purchase Lottery Ticket, d2 0 0 A realistic estimate of the chances of winning is 1 in 200,000. Use the expected value approach to recommend a decision. If required,...
(a) If your life plan is to buy one lottery ticket every day for 5 days a week, 50 weeks a year for the next 50 years, where on any lottery ticket you have a one in 500,000,000 chance of winning the jackpot, what is the probability you will win the jackpot at least once in your lifetime? Hint: Let Wi be the event you win the jackpot with the ith lottery ticket. Assume these are independent. (b) (continued) Buying...