Monty Hall Math Proof
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It became famous as a question from a reader s letter quoted in marilyn vos savant s ask.
Monty hall math proof. The monty hall problem is a brain teaser in the form of a probability puzzle loosely based on the american television game show let s make a deal and named after its original host monty hall the problem was originally posed and solved in a letter by steve selvin to the american statistician in 1975. P 3 1 suppose that the contestant chooses door number 1. Graphical proof of the monty hall problem. At this point the probability of success i e choosing the diamond is 1 3.
There are three inverted cups one of which hides a valuable diamond. P h mid e frac p e mid h p e p h frac p e mid h times p h p e mid h times p h p e mid text not h times p text not h. 1 the probability that the prize is behind door 1 2 or 3 is 3 p. A contestant chooses one of the three cups at random move one.
Proof of the monty hall problem. 2 1 3. Rules of the game.
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