
Q1: Consider a simplified lottery, in which there are 106 possible numbers. Each ticket costs $1,...
A local lottery costs $25 a ticket, and there are 3000 tickets sold. There is one first prize for $2000, three second prizes of $1000 each and ten third prizes of $250 each. You decide to purchase one ticket. What are your expected winnings?
(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...
In a lottery, each ticket has 5 one-digit numbers 0-9 on it. (with no digit repeating twice) You win if your ticket has the digits in any order. What are your changes of winning? 1 / 252 1 / 100 1 / 148 1 / 30240
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?
Please help with decision analysis
In a certain state lottery, a lottery ticket costs $2. In terms of the decision to purchase or not to purchase a lottery ticket, suppose the following payoff table (in S) applies: 29. State of Nature Win Lose Decision Alternative Purchase lottery ticket, d Do not purchase lottery ticket, d 300,000 -2 If a realistic estimate of the chances of winning are 1 in 250,000, use the expected value approach to recommend a decision. If...
Suppose that each week you buy a ticket in a lottery which gives you a chance of 1/100 of a win. You do this each week for a year. Use a suitable Poisson distribution to estimate the chance that you get 2 wins during the year.
Consider now the following lottery: There are infinitely many tickets, of which 4% are a “win”. Every ticket costs $2, and a winning ticket pays out $120. (a) Give a lower bound on the probability that playing the lottery will win you money. (b) Find a price such that your losses can exceed this price with probability at most 25%.
Suppose a scratch-off lottery ticket cost $1, and has the potential for a $1,000 grand prize. You decide to buy one of these lottery tickets. Suppose that the random variable, X=Dollars Won, has the following probability distribution: x P(X=x) 1,000 .0001 10 1 .03 0 .95 a.) what is the probability that you will win $10? b.) how many dollars are you expected to win? c.) suppose your friend says," you will either win or loose with this ticket, that...
Question 7 In a lottery six different numbers can be selected between 1 and 40. If these six numbers match the six numbers drawn from the machine, then you win the jackpot. If each lottery ticket costs £1, then how much has to be spent in order to obtain a probability of more than 50 per cent of winning the jackpot? 1. £10 million 2. £2.5 million 3. £1.9 million 4. £3.2 million 5. None of the above
In a lottery game, the jackpot is won by selecting five different whole numbers from 1 through 38 and getting the same five numbers (in any order) that are later drawn. In the Pick 4 game, you win a straight bet by selecting four digits (with repetition allowed), each one from 0 to 9, and getting the same four digits in the exact order they are later drawn. The Pick 4 game returns $5 comma 000 for a winning $1...