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Consider a state lottery that has a weekly television show. On this show, a contestant receives the opportunity to win $1 million. The contestant picks from four hidden windows. Behind each is one of the following: $250,000, $125,000, $1 million, or a "stopper." Before beginning, the contestant is offered $300,000 to stop. Mathematically speaking, should the contestant take the $300,000?
Answer yes, no, or doesn't matter.
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