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Answer to Question #27245 in Statistics and Probability for Anthony

Question #27245
Hello,
In a game where the winner will be the person who is closest to a randomly generated number between 1-10,000, is it more advantageous to guess a number in the middle of the range? In other words, is it more advantageous to guess 5000 than to guess 1 ? How would one prove this using probability theory?
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