Re: Advanced Monty Hall Problem with N door and M cars
From: Anon. (bob.ohara_at_NOSPAM.helsinki.fi)
Date: 02/21/05
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Date: Mon, 21 Feb 2005 18:24:15 +0200
Jack wrote:
> Hello Everybody,
> I really need you help in solving an advanced Monty hall problem.
> Assuming that we have N door with M of these door have cars behind
> them and N-M of these door has $1 bill behind them.
> Assuming that the player made an initial selection (she picked a door
> D1), now.... Monty open a door that has a $1 bill behind .... now he
> asks her, if she want to stay with her initial choice or if she wants
> to switch?
>
> What is the probability of winning if she stay with her choice? Isn't
> it P(winning if she stay with her inital decision) = M/N?
>
Yes.
>
> What is the probability of winning a car if she switched to different
> door?
>
If you understand the original Monty Hall problem, then you should be
able to work this out. If necessary, just write down the different
possibilities.
I'm not giving you the answer - this might be homework.
Bob
-- Bob O'Hara Department of Mathematics and Statistics P.O. Box 68 (Gustaf Hällströmin katu 2b) FIN-00014 University of Helsinki Finland Telephone: +358-9-191 51479 Mobile: +358 50 599 0540 Fax: +358-9-191 51400 WWW: http://www.RNI.Helsinki.FI/~boh/ Journal of Negative Results - EEB: www.jnr-eeb.org
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