Finite Mathematics Quiz
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PROBABILITY AND STATISTICS
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A game show contestant has $10,000 in winnings and is offered a choice: walk away with the money or play a bonus round. In the bonus round, the contestant chooses one of three doors; behind one is a prize worth $40,000, and behind the other two is nothing. Before deciding, the contestant can pay $3,000 to have one losing door revealed. If they take this option, they will then choose between the two remaining doors. What is the contestant's expected final wealth if they adopt the strategy of paying to have a door revealed and then playing?
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