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Probability and Ambiguity

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arxiv 2412.20728 v1 pith:SBSUY435 submitted 2024-12-30 math.PR

classification math.PR
keywords problemprobabilityambiguityanalyzebrokengardnerobtuseprisoners
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The title of the article is identical to the title of Chapter 21 in Gardner (2001): because we are going to analyze the probability calculations and the ambiguity of the problem statements. We will analyze 3 out of 4 problems from Gardner (2001): broken stick, two boys, three prisoners; and the obtuse random triangle in Hamming (1991) problems. Keywords: Broken stick problem, Obtuse triangle problem, Bertrand's problem, Two sons problem, Three prisoners problem, Monty Hall problem; probability function, probability density, randomness, ambiguity

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