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Is the PTA's raffle a mathematically fair game? Why or why not?* The PTA is holding a raffle to raise money for the elementary

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Is the PTA's raffle a mathematically fair game? Why or why not?* The PTA is holding a raffle to raise money for the elementary school. They are selling 500 raffle tickets for $5.00 each. They will draw tickets randomly and will be awarding a grand prize of $750, a second prize of $100, and five prizes of $20. Complete the probability distribution table (if all tickets are sold) and answer the questions that follow. Amount of Prize X $750 $100 $20 Probability of Winning P(X) $0 50 Yes it is fair because every ticket has an equal chance of being a winner. Yes it is fair because the expected value is more than the cost to play. Yes it is fair because the expected value is the same as the cost to play. No it is not fair because the expected value is less than the cost to play. No it is not fair because most people win nothing.

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