A charity organization hosts a raffle drawing at a fund raising event. The organization sells 2500 tickets at a price of $8 each. Winning tickets are randomly selected with 30 prizes of $100, 10 prizes of $500, and 1 grand prize of $8000. 1. If you were to play in such a raffle 100 times, what is the expected net gain? 2. Would you choose to buy a ticket for the raffle? (Your response should be a short paragraph, written in complete sentences, to explain why or why not.)  3. What ticket price would make it a fair game, so that, on average, neither the players nor the organizers of the raffle win or lose money? (round to two decimal places.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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A charity organization hosts a raffle drawing at a fund raising event. The organization sells 2500 tickets at a price of $8 each. Winning tickets are randomly selected with 30 prizes of $100, 10 prizes of $500, and 1 grand prize of $8000.

1. If you were to play in such a raffle 100 times, what is the expected net gain?

2. Would you choose to buy a ticket for the raffle? (Your response should be a short paragraph, written in complete sentences, to explain why or why not.) 

3. What ticket price would make it a fair game, so that, on average, neither the players nor the organizers of the raffle win or lose money? (round to two decimal places.)

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