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Probability

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In the game of Two-Finger Morra, 2 players show 1 or 2 fingers and simultaneously guess the number of fingers their opponent will show. If only one of the players guesses correctly he wins the amount (in dollars) equal to the sum of the fingers shown by him and by his opponent. If both players guess correctly or neither guesses correctly, then no money is exchanged. Consider a specified player and denote by X the amount of money he wins in a single game of Two-Finger Morra ...

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