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The Rancocas Valley Journal of Applied Mathematics

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Author:Sam Allen, editor
Description: Mathematics useful for decision making, inspired partly by the legalization in 1975 of casino gaming in Atlantic City, New Jersey. The casino gaming "laboratory" covers blackjack, slot machines, and roulette. "Challenging" problems include the Monty Hall problem, the pay envelope problem, the birthday paradox, the secretary problem, the gossip problem (telephone call chains), the Crackerjack box problem, and the terrorist problem. "Mathematical misunderstandings" debunk naive conceptions of the law of averages and death statistics. Also, notes on probability, computer algebra, capital management and betting, technical frauds (e.g., the mildness of Ivory soap, the nutritional value of breakfast cereals), game theory, cryptography, state lotteries, correspondence sports betting, Diophantine equations, and more.
Levels: Middle School (6-8), High School (9-12)
Languages: English
Resource Types: Problems/Puzzles, Journals
Math Topics: Combinatorics, Logic/Foundations, Game Theory, Bayesian Statistics, Probability, Statistics, Computer Algebra, Cryptography

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