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As in the Monty Hall problem, the intuitive answer is 1 / 2 , but the probability is actually 2 / 3 . The Three Prisoners problem, published in Martin Gardner's Mathematical Games column in Scientific American in 1959 [7] [55] is equivalent to the Monty Hall problem. This problem involves three condemned prisoners, a random one of ...
In 2009, Adam S. Landsberg proposed the following simpler variant of the 100 prisoners problem which is based on the well-known Monty Hall problem: [13] Behind three closed doors a car, the car keys and a goat are randomly distributed. There are two players: the first player has to find the car, the second player the keys to the car.
Monty Hall problem, also known as the Monty Hall paradox: [2] An unintuitive consequence of conditional probability. Necktie paradox: A wager between two people seems to favour them both. Very similar in essence to the Two-envelope paradox. Proebsting's paradox: The Kelly criterion is an often optimal strategy for maximizing profit in the long ...
The three prisoners problem appeared in Martin Gardner's "Mathematical Games" column in Scientific American in 1959. [ 1 ] [ 2 ] It is mathematically equivalent to the Monty Hall problem with car and goat replaced respectively with freedom and execution.
Two envelopes problem; Sleeping Beauty problem; The Monty Hall and Three Prisoners problems are identical mathematically to Bertrand's Box paradox. The construction of the Boy or Girl paradox is similar, essentially adding a fourth box with a gold coin and a silver coin. Its answer is controversial, based on how one assumes the "drawer" was chosen.
In 1975, Steve Selvin wrote a pair of letters to the American Statistician (February and April issues) regarding the Monty Hall problem. As Monty Hall wrote to Selvin: And if you ever get on my show, the rules hold fast for you — no trading boxes after the selection. —From the Let's Make a Deal website. In the May-June, 1989 issue of Bridge ...
The article cites Gillman (1992) in support of the Morgan et al. solution. Interestingly Gillman does not refer to those authors at all, but instead to a note by himself one year earlier "The car and goats fiasco", Focus (newsletter of the Mathematical Association of America, of which Gillman was a past president), volume (or number) 11, June 2011, p.8.
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