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Suppose that you are participating in a contest for a new car. The six finalists could...

Suppose that you are participating in a contest for a new car. The six finalists could choose among six keys, one of which would start the car. In an order chosen at random, each person would select a key and try it. If the key did not work, it would be discarded and the next person would try. In a game like this, would you want to go first? What is the best strategy?

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