Monty Hall Problem Simulation

Monty Hall Problem Simulation - High-value prize placed in...

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Unformatted text preview: High-value prize placed in Door # (randomized) Door #1 3 Low 1 High 3 Low 2 Low 3 Low 1 High 1 High 3 Low 2 Low 3 Low 1 High 2 Low 2 Low 2 Low 3 Low 3 Low 1 High 3 Low 3 Low 1 High 1 High 3 Low 3 Low 1 High 1 High 2 Low 1 High 2 Low 2 Low 3 Low 2 Low 1 High 3 Low 3 Low 2 Low 1 High 2 Low 3 Low 1 High 2 Low 3 Low 3 Low 2 Low Door #2 Low Low Low High Low Low Low Low High Low Low High High High Low Low Low Low Low Low Low Low Low Low Low High Low High High Low High Low Low Low High Low High Low Low High Low Low High Door #3 High Low High Low High Low Low High Low High Low Low Low Low High High Low High High Low Low High High Low Low Low Low Low Low High Low Low High High Low Low Low High Low Low High High Low My initial choice, i.e., choosing 1 of the 3 doors (randomized) 3 2 1 3 1 3 1 1 3 2 1 1 3 3 3 2 3 1 3 1 3 2 1 3 1 1 2 3 3 3 2 3 3 1 2 1 2 1 1 3 1 3 1 Game show host then opens one of the 2 doors with Lowvalue prize 1 3 2 1 2 2 2 2 1 1 2 3 1 1 1 1 2 2 2 3 2 1 2 2 3 3 3 1 1 1 1 2 2 2 3 3 1 2 2 1 2 1 3 3 1 3 2 2 1 3 2 1 2 3 3 3 1 3 1 3 2 1 3 2 1 3 3 1 1 3 2 2 2 1 3 1 3 1 2 1 1 1 1 1 3 1 3 2 2 1 3 2 1 2 Low High Low Low Low High Low Low High Low Low Low Low High Low High Low Low High Low Low High Low Low High High Low Low Low Low High Low High Low High Low High High High High High Low High Low Low Low High Low Low High Low Low Low Low High High Low Low High Low High Low Low Low Low Low Low Low High Low Low High Low Low Low Low Low Low High High High Low Low Low Low Low High Low Low Low Low Low Low Low Low High High Low Low High Low High High Low High Low Low Low High Low Low Low High High High Low High Low High Low Low High Low Low High High Low Low High Low Low Low Low High Low High Low Low Low Low Low Low Low High Low High Low Low Low High Low Low Low 2 1 3 3 1 2 1 3 1 3 3 2 1 2 3 3 2 2 3 1 3 1 2 2 1 1 1 3 3 2 1 3 1 1 2 3 2 2 1 3 2 2 1 1 2 2 2 2 2 3 3 1 2 2 1 3 3 2 1 3 1 1 1 2 3 2 2 1 3 2 2 1 2 1 1 2 2 2 1 1 1 3 1 3 2 3 1 3 3 2 2 3 1 2 2 1 1 3 1 3 2 1 2 1 1 1 3 3 2 2 2 3 3 2 2 1 1 1 2 3 3 3 3 1 2 2 3 2 1 3 2 2 2 3 1 3 1 2 2 3 1 1 2 1 3 3 3 3 1 2 2 1 1 Low High High High Low Low Low Low Low Low Low Low Low High High High Low Low Low Low Low High Low Low Low Low High Low Low Low Low Low High Low High Low Low Low High High Low High Low Low Low Low High Low Low High High High Low Low Low Low Low High High High Low Low High High Low Low Low High Low Low Low Low Low High High Low High Low Low High High High Low Low Low Low High High Low Low Low High Low Low Low Low Low Low High High Low Low Low Low Low Low High High Low Low Low High High Low Low Low Low Low Low High High High High Low Low Low High Low Low High Low Low Low High Low High Low Low Low High Low Low Low Low High High High High Low Low Low Low Low 2 3 2 1 2 2 2 3 1 1 1 1 2 1 3 3 2 2 2 1 2 3 1 2 1 1 2 1 3 3 2 3 1 3 3 3 3 2 1 2 3 3 3 3 1 2 2 2 2 2 2 1 2 3 3 1 1 1 1 3 2 2 3 1 3 2 2 3 1 1 2 1 2 3 1 2 3 3 2 1 1 3 1 2 1 2 1 1 1 3 3 1 2 2 1 2 1 3 3 3 3 3 2 3 2 3 3 3 2 3 3 2 1 1 1 1 1 1 3 3 1 1 3 3 2 2 1 1 1 3 3 3 1 1 3 1 2 3 3 3 1 2 2 1 3 3 1 2 2 1 1 2 1 Low Low Low Low Low Low Low Low Low Low High High High High High High Low Low High High Low Low Low Low High High High Low Low Low High High Low High Low Low Low Low High Low Low High Low Low High Low Low High High Low High High Low High Low Low Low High Low Low High Low Low Low Low Low Low Low Low Low Low Low Low High High Low Low Low Low Low Low Low Low Low Low High Low Low Low Low High High Low Low Low Low High High Low Low High Low Low High Low High High High Low High High Low Low Low Low Low Low Low High High Low Low High High Low Low Low Low Low High High High Low Low High Low Low High High High Low Low Low Low High High Low Low Low Low Low Low Low 2 2 1 1 3 2 3 2 1 2 3 3 3 2 2 1 2 1 1 2 3 3 1 2 2 1 1 1 1 3 3 3 3 1 1 1 2 2 1 1 1 2 2 1 3 2 1 3 2 1 2 3 1 3 2 1 1 1 1 2 1 2 2 2 3 3 3 1 2 2 3 2 1 3 1 3 3 3 2 2 1 2 2 1 2 3 2 1 1 3 3 3 3 1 2 2 3 3 2 3 3 3 1 3 1 1 3 1 3 2 3 1 3 2 3 3 1 2 1 3 1 3 2 1 2 3 1 3 1 1 1 2 1 1 1 2 1 2 2 3 2 2 2 3 3 3 1 1 1 2 2 3 2 High Low High High Low High Low Low Low High Low Low Low Low High Low High Low High Low Low High Low Low High Low High High High Low High High High Low High Low Low Low Low Low Low Low Low Low High High High Low Low Low Low Low Low Low Low Low Low Low High Low Low Low High Low Low Low High Low Low Low Low High Low High Low Low Low Low Low Low High Low Low Low High Low High High Low High High High Low Low Low Low Low Low High High Low High Low High Low Low High Low High Low High Low High Low High High Low Low Low High Low High Low Low Low High Low High Low Low Low Low Low Low Low Low Low Low Low High Low Low Low High High High Low Low Low Low Low High Low 1 3 3 3 3 2 1 1 2 2 2 2 3 2 1 1 1 1 1 3 1 1 1 3 2 3 1 2 1 1 1 3 1 1 1 2 2 2 1 2 3 2 3 3 3 2 1 2 2 1 3 3 2 2 2 1 3 2 3 1 3 1 3 1 1 3 3 2 2 3 1 3 3 3 2 3 1 2 3 2 3 3 2 3 3 2 3 3 1 3 3 1 1 1 2 2 3 2 3 1 2 1 2 3 1 3 3 3 1 3 3 2 1 1 1 3 3 2 1 2 2 3 3 1 3 3 3 2 1 3 2 2 2 2 2 1 2 2 1 1 3 1 2 2 2 3 3 2 2 1 1 1 2 Low Low High Low Low Low High Low Low Low High High High Low Low Low High Low Low Low Low High Low Low Low Low High Low Low Low Low Low Low High Low Low High High Low High Low Low Low Low Low Low Low High High High Low High Low Low Low Low Low Low Low Low High Low Low Low Low Low High Low High High Low Low Low Low Low Low High Low Low High High High High High Low High High Low Low Low Low High High High Low Low High High Low Low Low High Low High Low High High High Low High High Low Low Low Low High High Low Low Low Low High High Low High High High Low Low High Low Low Low Low Low Low Low Low Low Low High Low Low Low Low High High Low Low Low Low Low Low 1 1 1 1 2 2 3 3 1 3 3 3 3 3 1 1 1 2 2 2 2 3 3 1 2 2 3 3 2 2 2 1 3 1 1 1 1 3 3 1 2 3 2 1 1 2 1 1 1 1 3 3 2 2 2 1 1 2 2 2 1 2 2 2 2 2 3 2 3 1 1 1 2 2 2 1 1 2 1 1 3 1 3 1 3 3 3 2 2 1 2 1 1 1 2 2 1 3 3 2 2 1 3 1 1 1 2 2 3 2 1 1 2 2 3 3 2 2 3 2 3 2 3 3 3 1 2 2 1 2 3 3 3 2 1 3 2 1 2 2 1 1 1 2 1 2 2 1 2 3 3 2 1 Low High High High Low Low Low Low High High Low Low Low Low Low Low Low Low Low Low Low Low Low High Low Low High Low Low Low Low Low High Low Low High Low Low High High High Low High Low Low High Low Low Low Low High Low Low Low Low High High Low High Low Low High High Low Low High High Low High Low High Low Low Low Low High High Low High Low Low Low High Low Low High Low High High Low Low Low High Low High High Low High Low Low High Low High Low Low Low Low Low High Low Low Low Low Low High High Low Low High Low High Low High High High Low Low Low Low Low High High High Low Low High Low Low Low Low Low Low Low Low Low Low Low Low Low High High Low Low 2 2 1 1 2 2 1 3 2 1 2 3 2 3 3 2 2 3 1 2 2 3 2 1 3 2 3 3 3 2 1 2 3 3 3 2 1 3 1 3 2 2 2 3 1 1 1 3 3 2 1 1 3 3 2 1 3 2 1 3 2 3 1 1 2 1 1 1 1 2 1 1 2 1 2 1 3 2 1 2 1 2 3 2 1 1 3 3 1 3 2 3 1 3 1 3 2 3 2 2 3 3 1 3 2 3 2 3 1 1 2 3 2 2 1 1 2 3 2 3 3 3 2 2 1 2 3 1 3 1 1 3 2 2 1 1 3 1 3 3 1 2 2 2 2 1 3 1 2 1 1 2 2 High Low Low Low Low Low High High Low Low Low Low High High Low Low Low Low Low Low Low Low High Low Low High Low High High Low Low Low High High Low High Low Low High Low Low Low Low High Low High Low High High Low Low Low Low High Low High Low Low Low High Low High High Low Low High Low High Low Low Low High High Low High Low Low Low Low Low Low High High Low Low Low Low Low Low Low High High High High Low Low Low High Low Low High High Low High Low High Low High Low Low Low High Low Low Low Low Low High Low High High High Low Low Low Low High Low High Low Low High Low Low Low Low High Low High High Low Low Low Low Low Low High Low Low Low Low Low Low 3 2 3 1 2 3 1 1 2 2 3 2 2 2 3 1 3 2 1 2 2 3 3 2 2 1 2 3 1 1 3 2 3 1 3 3 1 2 3 1 1 2 1 3 2 3 1 3 2 2 3 2 1 1 2 1 2 2 3 1 1 1 1 3 3 1 2 1 1 2 1 1 1 2 3 1 3 1 2 2 2 1 3 2 3 2 2 2 1 2 3 3 1 3 2 1 2 3 2 3 3 1 3 1 3 2 2 3 1 3 3 1 1 3 2 3 2 2 1 3 2 2 2 1 2 1 3 2 1 1 3 3 3 3 1 3 1 2 3 2 2 3 3 3 1 3 2 3 3 1 1 2 2 Low High Low Low Low Low High Low Low High High Low Low Low Low Low High 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High Low Low High Low Low Low High Low High High Low Low Low High High Low Low High High Low High Low Low High High Low Low High Low Low Low High Low Low Low Low Low Low Low Low Low Low High High High Low High Low Low Low Low Low Low Low High Low High Low High Low Low High Low Low Low Low Low High Low Low High Low Low Low Low Low High Low Low High Low Low Low High High Low Low High Low High Low High Low Low Low Low High Low High Low High Low High High Low Low High Low Low Low Low Low Low High High Low Low High Low Low Low Low Low High High Low Low Low 3 2 2 3 2 3 1 3 2 2 3 3 1 2 1 3 3 2 1 2 2 1 1 3 1 1 1 1 2 2 2 3 3 3 3 3 2 2 1 3 1 1 3 3 3 3 3 2 1 3 2 2 1 1 2 3 1 2 1 3 3 2 2 2 3 2 2 1 3 3 1 3 2 3 2 3 2 2 3 3 1 1 2 1 2 2 1 1 1 3 2 2 3 2 2 1 2 2 1 3 2 1 1 1 2 3 2 1 2 3 1 2 3 3 3 2 3 3 2 3 1 1 2 3 3 2 2 2 2 1 3 1 3 2 3 3 1 3 2 2 1 1 1 1 1 3 1 1 1 2 3 1 2 High High Low Low Low High Low Low High Low Low Low Low Low Low Low Low Low High High Low Low Low Low Low Low Low High Low High Low Low 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Low Low Low Low High High High High High Low Low High High Low Low High Low Low Low High Low Low High Low Low High Low Low High Low High High Low Low High Low High High Low Low High Low Low Low Low Low Low Low Low Low Low Low Low High Low Low Low Low Low Low High High Low Low High Low Low Low High High Low Low High Low Low High Low Low Low Low Low Low Low Low Low Low Low Low Low Low High Low High High Low High Low High Low High High Low High High Low High Low 3 2 2 1 2 2 1 2 3 3 2 2 2 2 1 1 3 3 2 3 3 2 3 2 1 3 3 3 1 3 2 2 3 3 2 1 1 2 3 2 1 2 3 1 2 1 1 3 1 3 1 1 3 3 3 1 1 3 1 2 2 3 3 1 1 3 2 2 1 3 2 1 3 2 1 2 1 1 2 2 1 3 1 1 2 1 3 2 1 2 1 3 1 2 2 1 2 2 1 3 2 3 2 1 2 2 2 3 2 2 3 2 2 2 2 1 2 3 3 3 1 3 1 3 1 3 2 3 2 1 2 2 3 2 1 1 1 3 3 1 3 3 1 2 3 3 1 3 2 2 1 1 3 Low High Low Low Low Low Low Low Low Low Low Low Low High Low Low Low Low High Low High Low High Low Low Low Low High Low Low Low Low High High High Low Low High Low Low High Low Low Low High Low Low Low High High Low High Low High High High Low High High Low High High High High Low High Low Low Low Low Low Low Low Low Low High Low High Low High High Low High Low Low Low Low Low Low Low Low Low High Low Low Low Low High High Low Low Low Low Low Low Low Low High Low Low High Low Low Low Low Low Low High High High Low High Low High Low High Low High Low Low Low Low High Low Low Low Low High High Low High High Low Low High High Low High Low Low Low Low High 2 3 1 1 2 3 2 1 1 2 3 1 1 1 2 1 3 3 2 2 2 3 2 1 3 1 3 1 1 2 3 1 2 2 2 1 2 2 1 3 2 2 3 3 1 1 3 2 3 2 2 3 2 3 3 3 1 3 3 2 3 1 3 3 2 1 2 2 1 3 1 3 1 3 2 1 2 1 2 3 3 2 3 3 3 3 2 1 3 2 2 3 1 1 2 3 2 1 3 2 3 1 3 2 3 2 3 1 2 1 1 1 2 3 2 2 2 1 3 3 1 1 1 3 2 3 2 3 3 3 3 3 2 2 3 1 3 1 3 1 3 1 1 2 1 2 3 1 1 3 1 3 1 Low Low Low Low Low High Low High High High Low Low Low Low Low High Low Low High High High Low Low Low Low Low Low Low Low Low Low Low Low High Low High Low High Low High High Low High Low Low High High Low High Low High Low High Low High Low Low High Low Low Low High Low High High High Low Low Low Low Low Low Low High Low High Low Low Low Low Low High High Low Low Low Low Low Low Low Low Low High Low High Low Low Low Low Low Low Low High Low High Low High Low Low Low Low Low Low High Low Low Low Low High High Low Low Low High Low High Low High High High High High Low Low High Low High Low High Low High Low Low Low Low Low High Low Low High Low High Low 3 3 3 2 2 3 2 1 1 2 1 3 3 1 2 1 1 3 2 2 1 2 3 1 3 1 1 3 1 2 2 3 2 2 3 2 1 3 2 3 2 1 1 2 3 1 2 3 3 3 1 1 1 2 3 1 2 1 3 3 3 3 2 1 3 3 2 2 1 3 3 3 1 1 2 1 2 2 1 2 1 3 1 1 3 1 3 2 2 1 2 3 3 2 1 2 3 3 1 2 2 3 2 3 2 2 1 1 3 1 3 2 1 3 1 3 1 3 1 1 1 2 1 3 3 1 1 3 1 2 3 2 2 2 3 1 1 1 2 1 1 3 1 3 2 3 2 1 2 2 2 1 3 Low Low Low Low High High Low High Low Low High Low High Low High Low High High High Low High Low Low High High Low High Low Low Low Low Low Low High High High Low High High Low High Low Low Low Low High Low Low Low High Low High Low High High Low Low Low Low Low High Low Low Low Low Low Low Low Low Low High Low Low Low Low Low Low Low High Low High High High Low Low Low Low High Low Low Low Low Low High Low High Low High High High Low Low Low High Low Low Low Low High Low High Low Low High Low High Low High Low Low Low Low Low High High Low Low High Low Low High Low Low Low High Low Low Low Low Low Low High Low High Low High Low Low Low Low Low Low High 3 1 2 2 3 2 3 1 1 3 1 2 1 1 3 1 2 2 3 2 1 2 3 1 2 3 2 3 2 2 1 1 2 3 3 3 2 1 1 2 2 2 2 1 1 2 1 3 2 3 2 1 2 3 1 2 3 1 2 2 1 3 1 2 2 2 2 3 3 2 3 3 1 1 3 3 2 3 1 1 3 3 3 1 2 2 2 1 2 3 1 3 1 1 2 3 3 3 1 3 2 1 3 2 2 3 1 3 2 1 2 3 3 2 3 2 2 2 3 3 2 2 3 2 3 3 2 3 2 3 1 2 2 2 1 2 1 1 3 1 2 3 1 1 1 3 2 1 2 2 3 1 1 Low Low Low Low High Low Low High Low Low Low Low Low Low Low Low Low Low Low Low Low Low Low Low Low Low Low Low High Low Low Low High Low High High Low High Low Low High High High Low Low High Low Low Low High High Low High High Low Low Low High Low High Low Low High Low High High High Low Low High High Low High Low Low High Low High Low Low High High High Low High Low Low Low Low High Low Low Low Low Low High Low High High Low Low Low High Low Low High Low High Low Low Low High High Low High Low Low Low High High Low Low High Low High High Low High Low High Low Low Low Low Low Low Low Low High Low Low High Low Low Low High Low Low Low Low High Low Low 1 2 1 3 2 1 3 1 2 3 2 2 2 3 1 2 2 3 1 3 3 2 2 3 1 3 1 2 2 1 3 1 2 1 2 1 3 3 2 1 1 3 2 1 2 2 1 3 2 1 3 2 3 3 1 3 2 1 3 1 1 1 3 1 1 3 3 1 2 3 1 2 1 1 1 3 1 3 1 3 3 1 3 3 3 3 2 1 2 1 2 3 2 3 2 3 3 3 1 1 3 2 3 1 2 2 3 1 3 1 3 1 3 3 3 1 2 2 1 2 2 1 2 1 3 1 1 3 3 1 1 3 2 2 3 3 3 2 1 3 1 3 1 1 3 3 2 1 1 3 2 2 2 Low High Low Low Low High Low High Low High Low Low Low High Low Low High Low Low High Low High Low High High Low Low High High Low Low Low Low Low Low Low High Low High Low High High Low Low Low High High Low Low Low Low Low Low High High Low Low Low Low Low Low Low Low Low Low High High Low High High Low High Low Low Low Low Low Low Low Low Low 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High Low Low High Low Low Low Low High Low Low Low High High High Low Low Low Low Low Low Low Low Low Low Low Low High Low Low Low Low Low High Low Low High Low High High 1 2 3 1 3 3 2 1 1 3 1 1 3 3 1 3 3 1 3 2 3 3 3 1 3 1 2 3 1 1 2 2 2 3 2 2 2 3 1 3 3 3 2 2 1 3 1 2 1 1 2 2 1 1 2 2 2 3 2 2 1 3 2 1 2 2 2 1 3 2 1 2 2 2 2 1 2 3 2 3 2 3 3 3 1 3 3 3 2 2 2 2 2 1 3 2 1 3 1 3 2 1 1 3 1 1 1 1 1 1 1 2 1 1 1 1 1 3 3 3 1 2 2 3 2 1 1 1 3 1 1 2 3 3 3 3 2 1 3 3 1 1 3 2 1 1 2 2 3 3 3 3 3 High Low High High High High High High High Low High High High High High Low Low Low High Low Low Low Low High High High Low High High Low Low Low Low Low Low High Low Low High High Low Low High High Low Low Low Low Low Low Low Low Low Low Low Low Low Low Low Low High Low Low Low Low Low Low Low Low Low High High Low High Low Low Low Low Low Low High Low Low Low Low High Low Low Low Low Low Low High Low Low High High Low Low Low Low Low Low High Low Low Low Low Low Low Low Low Low Low Low Low Low High High High Low Low Low High Low Low Low Low High Low Low Low High High High High Low Low High High Low Low High Low Low Low Low Low High High High High High 1 3 2 2 1 2 2 3 2 1 2 3 1 2 3 1 2 2 1 1 1 3 2 1 3 3 1 2 3 2 2 1 2 2 3 1 1 1 2 3 1 2 2 3 1 3 1 2 3 2 2 3 2 3 3 3 3 3 2 3 3 3 2 3 3 2 2 1 1 2 3 3 2 3 2 2 2 2 3 2 1 1 2 1 1 1 2 2 2 3 2 2 1 3 2 3 1 2 1 2 1 1 2 1 1 1 2 3 1 3 1 1 2 1 3 3 2 3 2 2 1 1 2 3 3 1 1 1 2 3 2 1 3 2 3 3 2 3 3 2 1 1 3 3 2 3 2 2 3 2 3 2 1 Low High High High Low Low High Low High High Low High Low Low Low Low Low Low High High Low Low Low High High High Low Low Low High Low Low Low Low Low Low Low Low High High Low Low Low Low Low Low Low Low Low Low High High Low Low Low High Low Low Low Low Low High Low Low Low High Low High High Low Low High Low Low Low Low Low High Low High Low Low High Low Low High Low Low High Low Low Low Low High Low High High Low High Low High Low Low Low Low Low Low High Low High Low Low Low Low High High Low High Low Low Low Low Low High High Low Low Low Low High Low Low High Low High High Low High High Low Low Low High High Low High Low Low High Low High Low Low 1 3 1 1 2 3 1 3 2 2 3 1 2 1 3 3 1 3 3 2 3 3 3 2 1 1 2 2 2 3 1 3 1 3 3 3 3 2 3 2 1 1 2 2 1 3 1 3 2 1 1 3 2 2 3 3 2 2 2 3 3 1 2 1 2 1 1 3 1 2 3 1 2 1 3 2 2 1 1 3 2 2 1 2 2 1 1 1 3 2 3 2 2 3 1 3 1 2 1 1 3 2 1 2 1 1 2 2 2 3 2 1 3 3 1 2 3 3 1 2 3 2 3 3 1 3 1 2 2 2 2 2 3 1 2 1 2 2 2 3 1 1 2 2 2 1 3 2 3 2 2 2 2 High Low High High Low Low Low Low Low High Low Low High Low Low Low High Low Low Low Low Low High Low High Low Low Low Low Low Low High Low High Low Low Low Low High High Low Low Low High Low Low Low Low Low Low Low Low High Low Low High High High Low High Low Low Low Low High Low Low Low High Low High Low Low Low Low Low High High High High High Low Low High Low High High High Low Low Low High High High Low Low High Low High High High High Low Low Low Low Low Low Low High Low Low High High Low Low High High Low Low High Low High High Low High Low Low Low Low Low Low High Low Low Low Low Low Low High Low Low Low Low Low Low High Low High Low Low Low Low 1 1 2 2 1 1 1 1 1 2 3 3 1 2 2 3 3 1 1 3 2 3 2 3 2 3 1 1 3 3 2 1 3 3 1 2 2 2 2 3 2 2 1 3 1 2 3 3 1 3 1 3 3 3 3 3 3 3 2 3 3 2 2 3 1 1 1 2 3 2 1 1 2 3 1 3 1 3 3 1 1 1 3 1 2 3 1 3 1 3 2 3 3 3 2 2 3 2 1 3 1 3 2 2 2 1 1 3 1 1 3 1 3 1 1 1 3 2 2 1 3 2 2 1 1 1 2 1 3 3 1 2 3 2 2 2 1 3 3 1 3 3 1 3 1 1 1 2 3 2 3 2 3 Low Low Low High High Low High High Low High Low High High High Low Low Low High Low Low Low High High High Low High Low Low High Low Low Low Low Low High Low Low High Low Low High Low High High High Low Low Low Low Low Low High High High Low Low Low Low Low Low Low Low Low Low Low Low High High Low Low High High Low Low Low High Low Low Low Low High Low High High High Low Low Low Low Low Low Low Low Low Low Low High Low High Low High Low Low Low Low Low Low High Low Low High Low High Low Low Low High Low Low Low High Low Low Low Low Low Low Low High High Low Low High Low Low Low Low High High Low High High Low High Low Low Low Low High Low High Low High 1 3 2 2 2 3 2 2 2 1 1 3 2 3 2 2 2 1 1 2 3 2 2 2 3 1 2 2 1 1 1 1 2 3 1 1 2 1 3 1 2 3 1 3 2 3 3 1 1 3 1 3 1 1 3 3 1 3 3 1 2 2 2 3 2 1 1 3 2 2 1 1 3 3 3 1 2 1 1 3 3 2 3 1 1 3 2 1 3 1 2 3 2 2 2 3 1 1 3 2 1 2 2 2 2 1 3 1 2 2 3 2 3 2 3 3 2 3 2 1 3 1 2 2 2 3 3 2 3 2 2 1 1 2 2 2 3 1 3 1 2 2 2 1 1 2 1 1 3 1 2 2 2 Low Low Low High Low High Low Low Low Low Low Low Low Low Low Low Low High Low High Low Low Low Low Low Low Low Low Low High High Low Low Low Low High Low High Low Low Low High High Low High High Low High Low Low Low High High High Low Low Low High High Low High Low High Low Low High Low High Low Low Low High High High Low Low High Low High High Low Low High High High Low Low Low Low High High High Low Low High Low Low Low Low High High High Low Low Low Low High Low Low Low High Low High Low High High Low High Low Low High Low Low Low Low High High Low High Low Low Low Low Low Low Low High Low High Low Low Low Low Low Low Low Low Low High 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WIN WIN LOSE WIN LOSE LOSE WIN WIN LOSE LOSE WIN LOSE LOSE WIN LOSE LOSE LOSE WIN WIN WIN LOSE LOSE WIN WIN LOSE LOSE WIN WIN WIN LOSE LOSE WIN WIN WIN WIN WIN LOSE LOSE LOSE WIN LOSE WIN LOSE LOSE 1 1 0 0 0 0 0 1 1 0 1 0 0 1 1 0 0 1 0 0 1 0 0 0 1 1 1 0 0 1 1 0 0 1 1 1 0 0 1 1 1 1 1 0 0 0 1 0 1 0 0 2 1 3 3 1 2 3 1 1 2 1 1 1 3 3 1 3 2 3 1 2 2 3 2 1 1 2 1 1 2 1 2 1 1 3 2 2 1 2 1 3 2 3 2 2 3 3 2 1 1 1 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 3 1 2 2 3 1 1 1 3 3 3 3 2 1 3 1 3 3 3 1 1 1 3 2 3 3 3 1 2 3 2 3 1 3 3 2 1 3 1 2 3 3 1 2 2 3 3 3 3 2 2 WIN LOSE LOSE LOSE WIN LOSE LOSE LOSE WIN LOSE LOSE WIN LOSE LOSE WIN LOSE WIN WIN WIN LOSE WIN LOSE WIN WIN LOSE LOSE LOSE WIN WIN WIN WIN WIN LOSE LOSE WIN WIN LOSE WIN LOSE LOSE LOSE LOSE WIN WIN WIN WIN WIN LOSE LOSE WIN LOSE 1 0 0 0 1 0 0 0 1 0 0 1 0 0 1 0 1 1 1 0 1 0 1 1 0 0 0 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 1 1 1 1 1 0 0 1 0 3 3 1 1 3 2 2 2 2 1 2 3 1 2 3 1 3 3 3 2 1 1 2 2 1 2 3 1 1 1 3 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LOSE WIN WIN WIN WIN LOSE WIN LOSE WIN WIN LOSE LOSE LOSE WIN LOSE LOSE LOSE WIN WIN LOSE LOSE WIN WIN WIN WIN 1 1 0 0 0 1 1 0 1 0 0 0 0 1 1 1 0 1 0 1 1 0 0 0 1 0 0 1 1 1 1 0 1 0 1 1 0 0 0 1 0 0 0 1 1 0 0 1 1 1 1 2 2 2 2 2 2 3 2 2 2 3 3 2 2 3 3 2 3 3 2 1 2 3 3 3 1 2 1 3 2 3 1 2 1 1 3 3 2 2 3 1 2 1 2 1 3 2 3 2 3 2 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 2 3 1 1 1 1 2 3 2 3 3 1 2 3 1 2 2 3 2 2 3 2 3 1 1 1 1 1 3 2 1 1 2 2 1 2 3 3 2 3 1 2 2 1 3 1 1 1 1 2 2 WIN WIN LOSE WIN LOSE LOSE LOSE WIN LOSE LOSE WIN WIN LOSE LOSE WIN WIN WIN LOSE WIN LOSE WIN WIN WIN LOSE WIN LOSE LOSE WIN WIN WIN WIN LOSE WIN LOSE LOSE WIN LOSE LOSE LOSE WIN LOSE LOSE LOSE WIN WIN WIN LOSE LOSE LOSE LOSE LOSE 1 1 0 1 0 0 0 1 0 0 1 1 0 0 1 1 1 0 1 0 1 1 1 0 1 0 0 1 1 1 1 0 1 0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0 0 0 2 3 1 2 1 2 2 3 2 1 2 1 2 3 1 2 1 3 2 3 3 1 1 2 1 1 2 1 1 3 2 3 1 3 1 2 1 2 2 3 3 1 1 1 3 1 3 3 2 1 1 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 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LOSE WIN LOSE LOSE LOSE 0 0 0 1 0 0 0 0 1 0 1 0 1 1 0 1 1 0 0 1 0 1 1 0 0 1 1 0 1 1 1 1 0 0 0 1 1 1 0 1 1 0 1 1 1 0 0 1 0 0 0 3 3 1 3 1 1 3 2 1 3 1 2 2 3 3 1 3 2 1 1 1 2 2 3 1 2 2 1 1 2 3 3 1 1 2 3 3 3 3 1 3 1 2 1 3 2 1 3 1 3 2 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 2 2 2 3 2 3 3 3 2 2 1 3 1 1 1 2 2 3 1 3 1 1 1 2 2 1 2 1 2 2 1 1 1 2 1 1 1 1 3 1 3 2 3 2 1 1 1 2 3 2 3 WIN LOSE WIN LOSE WIN LOSE LOSE WIN LOSE LOSE WIN WIN LOSE WIN WIN WIN LOSE LOSE LOSE WIN WIN LOSE WIN WIN LOSE WIN LOSE WIN LOSE LOSE WIN WIN LOSE WIN LOSE LOSE WIN LOSE WIN LOSE WIN WIN LOSE LOSE WIN WIN LOSE LOSE LOSE LOSE WIN 1 0 1 0 1 0 0 1 0 0 1 1 0 1 1 1 0 0 0 1 1 0 1 1 0 1 0 1 0 0 1 1 0 1 0 0 1 0 1 0 1 1 0 0 1 1 0 0 0 0 1 1 2 1 3 3 3 1 3 2 1 1 3 3 2 1 2 2 3 1 1 1 1 2 3 1 1 2 1 2 3 1 2 3 2 1 2 1 3 3 3 3 2 2 3 1 1 3 1 1 1 3 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 1 2 3 3 2 1 3 2 2 3 3 3 2 1 3 3 3 3 3 3 3 3 3 2 1 3 2 2 3 3 1 3 3 3 3 1 1 1 3 2 3 3 2 3 3 1 1 1 1 3 1 WIN LOSE LOSE LOSE LOSE WIN WIN LOSE WIN LOSE LOSE LOSE LOSE WIN WIN LOSE LOSE WIN LOSE LOSE WIN LOSE LOSE LOSE LOSE WIN WIN WIN LOSE LOSE WIN WIN LOSE LOSE WIN LOSE LOSE WIN WIN LOSE WIN LOSE LOSE LOSE WIN WIN LOSE WIN LOSE WIN WIN 1 0 0 0 0 1 1 0 1 0 0 0 0 1 1 0 0 1 0 0 1 0 0 0 0 1 1 1 0 0 1 1 0 0 1 0 0 1 1 0 1 0 0 0 1 1 0 1 0 1 1 1 2 2 1 1 1 3 2 1 3 1 3 1 2 3 3 2 3 1 2 3 3 3 1 2 3 2 2 1 1 3 3 3 2 3 1 1 1 2 1 3 2 1 1 3 1 1 3 3 3 1 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 2 3 3 3 2 2 2 1 2 3 3 1 1 2 3 3 2 3 2 1 2 3 1 1 2 2 3 2 2 3 3 1 1 3 2 2 1 1 3 1 2 1 2 1 1 3 3 1 3 3 1 WIN WIN LOSE LOSE LOSE WIN WIN LOSE LOSE LOSE WIN WIN WIN WIN WIN WIN LOSE WIN LOSE WIN LOSE WIN WIN LOSE WIN LOSE WIN WIN WIN LOSE WIN LOSE LOSE LOSE LOSE LOSE WIN WIN LOSE WIN WIN LOSE WIN LOSE WIN LOSE LOSE LOSE WIN WIN WIN 1 1 0 0 0 1 1 0 0 0 1 1 1 1 1 1 0 1 0 1 0 1 1 0 1 0 1 1 1 0 1 0 0 0 0 0 1 1 0 1 1 0 1 0 1 0 0 0 1 1 1 3 3 3 1 1 2 2 1 2 3 3 2 3 2 3 1 2 1 3 3 2 3 1 2 2 2 3 2 2 2 3 3 1 2 3 2 1 1 3 1 2 2 3 2 1 2 1 3 3 3 1 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 2 3 2 3 2 3 2 2 3 2 3 3 3 1 2 3 3 2 3 2 2 1 2 3 1 2 1 1 3 1 3 3 3 2 2 2 1 3 1 2 2 3 2 3 2 2 2 3 2 3 2 WIN WIN WIN LOSE WIN WIN WIN LOSE LOSE LOSE LOSE WIN WIN WIN WIN WIN LOSE LOSE WIN LOSE WIN LOSE WIN LOSE WIN WIN WIN WIN LOSE LOSE WIN WIN WIN WIN LOSE LOSE LOSE WIN WIN LOSE LOSE WIN WIN WIN WIN WIN WIN LOSE WIN WIN LOSE 1 1 1 0 1 1 1 0 0 0 0 1 1 1 1 1 0 0 1 0 1 0 1 0 1 1 1 1 0 0 1 1 1 1 0 0 0 1 1 0 0 1 1 1 1 1 1 0 1 1 0 1 3 2 3 2 3 2 1 1 3 1 2 2 1 1 3 2 3 3 2 1 2 2 2 1 3 3 1 1 1 2 3 3 3 3 3 2 3 1 3 3 3 2 2 2 2 2 3 2 1 1 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 3 3 3 3 1 3 2 3 3 1 2 1 1 2 3 2 2 2 1 3 3 1 2 3 3 2 2 3 3 1 2 1 1 1 1 2 3 2 2 3 2 3 2 3 3 2 2 1 3 3 3 LOSE LOSE WIN WIN WIN LOSE WIN WIN WIN LOSE WIN WIN LOSE WIN LOSE LOSE WIN LOSE LOSE LOSE LOSE LOSE LOSE LOSE WIN LOSE WIN WIN LOSE LOSE LOSE WIN WIN LOSE WIN LOSE LOSE WIN WIN WIN LOSE WIN WIN LOSE WIN LOSE WIN WIN WIN LOSE LOSE 0 0 1 1 1 0 1 1 1 0 1 1 0 1 0 0 1 0 0 0 0 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 0 1 1 1 0 1 1 0 1 0 1 1 1 0 0 2 1 3 3 1 3 2 3 3 3 2 2 1 2 3 3 2 2 3 2 2 3 2 3 3 2 2 3 1 3 3 1 1 2 2 2 3 2 2 3 1 2 3 3 2 1 2 1 3 2 1 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 2 2 2 1 2 2 1 2 3 3 2 2 2 3 3 3 2 1 3 1 3 3 1 3 3 1 1 1 3 3 3 1 1 1 2 1 1 2 2 3 3 2 2 2 3 3 2 1 2 3 2 WIN WIN WIN LOSE WIN LOSE LOSE LOSE LOSE WIN WIN LOSE WIN WIN WIN WIN WIN WIN LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE WIN WIN LOSE WIN WIN WIN WIN WIN LOSE LOSE WIN WIN LOSE WIN WIN WIN WIN LOSE LOSE WIN WIN LOSE LOSE LOSE LOSE 1 1 1 0 1 0 0 0 0 1 1 0 1 1 1 1 1 1 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 0 1 1 1 1 0 0 1 1 0 0 0 0 1 3 2 3 2 2 3 3 3 1 1 2 2 2 3 1 2 1 2 3 1 3 2 2 2 2 2 1 1 1 3 1 2 2 1 2 1 2 2 2 3 2 2 3 2 2 2 2 1 1 3 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 3 2 3 1 2 1 1 2 2 1 2 1 3 3 1 3 2 1 1 3 2 1 3 2 3 2 2 2 3 3 1 1 1 2 3 3 1 1 2 1 3 1 3 1 2 2 3 2 1 3 3 WIN WIN LOSE WIN WIN LOSE WIN LOSE WIN LOSE WIN LOSE WIN WIN WIN LOSE LOSE WIN WIN WIN WIN LOSE LOSE LOSE WIN WIN LOSE WIN WIN WIN LOSE LOSE LOSE LOSE LOSE LOSE WIN LOSE LOSE LOSE WIN WIN WIN WIN LOSE WIN LOSE WIN LOSE WIN WIN 1 1 0 1 1 0 1 0 1 0 1 0 1 1 1 0 0 1 1 1 1 0 0 0 1 1 0 1 1 1 0 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 0 1 0 1 1 1 2 3 2 2 3 2 3 2 3 3 2 3 1 3 1 2 1 1 3 3 1 2 3 2 1 3 2 2 3 1 3 1 2 1 3 1 2 3 2 1 1 3 1 2 2 2 3 2 3 1 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 3 2 3 1 2 1 1 3 3 2 2 1 3 1 3 2 2 3 1 2 3 3 2 3 3 2 2 1 1 2 3 3 3 3 1 3 2 2 1 2 3 2 2 2 1 3 3 2 2 1 3 LOSE WIN LOSE WIN LOSE WIN LOSE WIN WIN LOSE LOSE LOSE LOSE LOSE WIN WIN WIN LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE WIN WIN WIN LOSE WIN LOSE WIN LOSE LOSE LOSE LOSE LOSE LOSE LOSE WIN WIN WIN LOSE WIN WIN WIN WIN WIN WIN WIN 0 1 0 1 0 1 0 1 1 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 1 1 1 0 1 0 1 0 0 0 0 0 0 0 1 1 1 0 1 1 1 1 1 1 1 3 2 2 1 2 1 2 1 3 3 1 3 2 3 3 3 1 3 3 1 1 3 1 1 2 2 1 3 1 2 3 2 3 2 1 2 3 1 2 1 1 3 2 2 1 3 3 1 1 3 2 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 1 1 3 1 3 2 2 3 1 2 2 1 2 3 1 3 3 2 2 3 2 1 1 2 1 1 3 1 3 2 1 3 2 2 1 1 2 2 1 2 2 2 2 2 3 3 2 3 2 3 2 LOSE WIN LOSE WIN WIN WIN LOSE LOSE LOSE LOSE LOSE WIN WIN WIN WIN LOSE LOSE WIN WIN WIN WIN WIN WIN LOSE LOSE WIN LOSE LOSE WIN LOSE WIN WIN LOSE WIN LOSE WIN WIN LOSE WIN WIN LOSE WIN LOSE WIN WIN WIN WIN WIN LOSE WIN LOSE 0 1 0 1 1 1 0 0 0 0 0 1 1 1 1 0 0 1 1 1 1 1 1 0 0 1 0 0 1 0 1 1 0 1 0 1 1 0 1 1 0 1 0 1 1 1 1 1 0 1 0 1 1 1 1 3 2 2 1 2 2 1 1 2 3 1 2 2 1 2 1 2 2 1 3 1 1 2 2 3 3 3 3 2 2 3 1 1 1 1 2 2 2 3 2 1 3 2 3 3 3 3 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 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LOSE LOSE LOSE LOSE LOSE 1 1 1 0 0 0 1 0 1 0 0 1 0 1 1 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 1 0 1 0 0 0 1 0 0 1 0 0 1 1 1 0 0 0 0 0 0 1 3 1 3 1 2 1 1 2 3 1 1 1 3 2 1 2 3 2 3 3 2 2 1 3 1 2 2 2 3 3 2 2 1 1 2 3 3 2 1 2 2 3 3 3 3 3 1 3 3 1 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 1 2 1 2 2 1 3 1 3 1 1 2 3 1 1 3 3 3 1 3 1 2 3 2 3 1 1 3 2 2 1 3 2 1 2 1 2 2 2 2 2 1 2 1 1 1 2 1 1 2 3 LOSE LOSE WIN WIN WIN WIN LOSE LOSE LOSE LOSE LOSE LOSE WIN LOSE LOSE LOSE WIN LOSE WIN WIN LOSE WIN LOSE WIN WIN LOSE LOSE WIN WIN WIN LOSE WIN WIN LOSE WIN LOSE LOSE LOSE WIN LOSE WIN LOSE WIN LOSE WIN WIN WIN WIN WIN LOSE WIN 0 0 1 1 1 1 0 0 0 0 0 0 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 1 1 0 1 1 0 1 0 0 0 1 0 1 0 1 0 1 1 1 1 1 0 1 3 2 1 2 2 2 1 2 2 2 2 3 3 3 3 1 3 1 1 3 1 2 1 2 3 2 2 3 3 2 2 3 3 2 2 2 2 2 2 3 2 1 2 1 3 1 2 3 2 3 1 ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? ? 1 1 2 1 1 1 2 1 1 3 1 3 2 3 1 2 2 1 2 1 3 3 1 2 3 2 1 2 3 3 1 2 1 2 3 3 2 2 3 3 1 3 2 1 3 3 1 2 2 2 2 LOSE LOSE LOSE LOSE LOSE LOSE WIN LOSE WIN WIN LOSE WIN WIN LOSE LOSE WIN LOSE LOSE WIN LOSE LOSE LOSE WIN LOSE LOSE LOSE WIN WIN LOSE WIN WIN WIN LOSE LOSE LOSE LOSE LOSE WIN WIN WIN LOSE LOSE WIN LOSE WIN LOSE LOSE WIN WIN WIN WIN 0 0 0 0 0 0 1 0 1 1 0 1 1 0 0 1 0 0 1 0 0 0 1 0 0 0 1 1 0 1 1 1 0 0 0 0 0 1 1 1 0 0 1 0 1 0 0 1 1 1 1 3 3 1 3 2 1 2 2 2 1 1 3 2 2 2 2 1 3 1 1 3 3 1 2 3 2 1 2 2 3 3 2 1 1 2 1 1 2 3 3 3 1 2 1 3 1 1 2 3 1 2 ? ? ? ? ? ? ? ? ? ? -value prize 2 2 2 1 2 3 3 2 1 1 WIN LOSE LOSE WIN LOSE LOSE WIN WIN WIN LOSE 1 0 0 1 0 0 1 1 1 0 2523 50.46% 3 3 2 1 3 2 1 2 1 2 WIN or LOSE if I always switch (i.e., always drop the initial choice and pick the other door) LOSE WIN WIN WIN WIN WIN LOSE WIN WIN WIN LOSE WIN WIN WIN LOSE WIN WIN WIN LOSE LOSE WIN WIN WIN WIN LOSE WIN WIN WIN WIN LOSE LOSE WIN LOSE WIN LOSE LOSE LOSE WIN LOSE WIN WIN LOSE WIN 0 1 1 1 1 1 0 1 1 1 0 1 1 1 0 1 1 1 0 0 1 1 1 1 0 1 1 1 1 0 0 1 0 1 0 0 0 1 0 1 1 0 1 WIN or LOSE if I never switch (i.e., always stay with the initial choice) WIN LOSE LOSE LOSE LOSE LOSE WIN LOSE LOSE LOSE WIN LOSE LOSE LOSE WIN LOSE LOSE LOSE WIN WIN LOSE LOSE LOSE LOSE WIN LOSE LOSE LOSE LOSE WIN WIN LOSE WIN LOSE WIN WIN WIN LOSE WIN LOSE LOSE WIN LOSE 1 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 0 1 0 0 0 0 1 1 0 1 0 1 1 1 0 1 0 0 1 0 WIN LOSE LOSE WIN WIN WIN WIN WIN LOSE WIN LOSE WIN WIN WIN LOSE WIN WIN LOSE WIN WIN WIN LOSE WIN WIN LOSE LOSE WIN WIN WIN LOSE LOSE LOSE LOSE WIN WIN WIN WIN WIN LOSE WIN WIN WIN LOSE WIN LOSE LOSE WIN WIN LOSE WIN WIN 1 0 0 1 1 1 1 1 0 1 0 1 1 1 0 1 1 0 1 1 1 0 1 1 0 0 1 1 1 0 0 0 0 1 1 1 1 1 0 1 1 1 0 1 0 0 1 1 0 1 1 LOSE WIN WIN LOSE LOSE LOSE LOSE LOSE WIN LOSE WIN LOSE LOSE LOSE WIN LOSE LOSE WIN LOSE LOSE LOSE WIN LOSE LOSE WIN WIN LOSE LOSE LOSE WIN WIN WIN WIN LOSE LOSE LOSE LOSE LOSE WIN LOSE LOSE LOSE WIN LOSE WIN WIN LOSE LOSE WIN LOSE LOSE 0 1 1 0 0 0 0 0 1 0 1 0 0 0 1 0 0 1 0 0 0 1 0 0 1 1 0 0 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0 1 1 1 0 1 1 1 0 1 0 1 1 1 0 1 1 0 0 1 WIN LOSE LOSE LOSE WIN WIN LOSE LOSE WIN LOSE LOSE WIN LOSE LOSE LOSE WIN WIN LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE WIN LOSE LOSE LOSE WIN LOSE LOSE LOSE WIN LOSE WIN LOSE LOSE LOSE WIN LOSE LOSE WIN WIN LOSE 1 0 0 0 1 1 0 0 1 0 0 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 0 1 0 0 0 1 0 0 1 1 0 WIN LOSE WIN WIN WIN LOSE WIN WIN WIN WIN WIN WIN WIN WIN WIN WIN WIN WIN WIN WIN LOSE WIN WIN WIN WIN WIN WIN WIN LOSE WIN WIN WIN LOSE WIN WIN WIN LOSE LOSE WIN WIN WIN LOSE WIN LOSE LOSE WIN WIN LOSE LOSE WIN LOSE 1 0 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 0 0 1 1 1 0 1 0 0 1 1 0 0 1 0 LOSE WIN LOSE LOSE LOSE WIN LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE WIN LOSE LOSE LOSE LOSE LOSE LOSE LOSE WIN LOSE LOSE LOSE WIN LOSE LOSE LOSE WIN WIN LOSE LOSE LOSE WIN LOSE WIN WIN LOSE LOSE WIN WIN LOSE WIN 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 1 1 0 0 0 1 0 1 1 0 0 1 1 0 1 WIN WIN WIN WIN WIN LOSE WIN WIN LOSE LOSE LOSE WIN WIN WIN WIN WIN WIN WIN LOSE LOSE LOSE LOSE WIN LOSE LOSE LOSE WIN WIN WIN WIN LOSE WIN LOSE WIN WIN WIN WIN WIN WIN WIN WIN WIN WIN LOSE WIN WIN LOSE WIN LOSE LOSE WIN 1 1 1 1 1 0 1 1 0 0 0 1 1 1 1 1 1 1 0 0 0 0 1 0 0 0 1 1 1 1 0 1 0 1 1 1 1 1 1 1 1 1 1 0 1 1 0 1 0 0 1 LOSE LOSE LOSE LOSE LOSE WIN LOSE LOSE WIN WIN WIN LOSE LOSE LOSE LOSE LOSE LOSE LOSE WIN WIN WIN WIN LOSE WIN WIN WIN LOSE LOSE LOSE LOSE WIN LOSE WIN LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE LOSE WIN LOSE LOSE WIN LOSE WIN WIN LOSE 0 0 0 0 0 1 0 0 1 1 1 0 0 0 0 0 0 0 1 1 1 1 0 1 1 1 0 0 0 0 1 0 1 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 1 0 LOSE WIN LOSE WIN WIN WIN LOSE WIN WIN WIN 0 1 0 1 1 1 0 1 1 1 3342 66.84% WIN LOSE WIN LOSE LOSE LOSE WIN LOSE LOSE LOSE 1 0 1 0 0 0 1 0 0 0 1658 33.16% ...
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