Suppose, in the Monty Hall problem, that if the contestant first chooses curtain 1 and the prize is in fact behind curtain 1 then the host always opens curtain 2 and offers the contestant a chance to switch to curtain 3. What advice would you now give the contestant when, after choosing curtain 1, he is given the opportunity to switch to another curtain? Now suppose that when the contestant chooses curtain 1 the host opens curtain 2 or 3 with equal probability, even when this reveals where the prize ís. If in some particular play of the game the host opens curtain 2, which turns out not to have the prize, would it be in the contestant's interest to switch to curtain 3?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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Suppose, in the Monty Hall problem, that if
the contestant first chooses curtain 1 and the
prize is in fact behind curtain 1 then the host
always opens curtain 2 and offers the
contestant a chance to switch to curtain 3.
What advice would you now give the
contestant when, after choosing curtain 1, he
is given the opportunity to switch to another
curtain? Now suppose that when the
contestant chooses curtain 1 the host opens
curtain 2 or 3 with equal probability, even
when this reveals where the prize is. If in
some particular play of the game the host
opens curtain 2, which turns out not to have
the prize, would it be in the contestant's
interest to switch to curtain 3?
Transcribed Image Text:Suppose, in the Monty Hall problem, that if the contestant first chooses curtain 1 and the prize is in fact behind curtain 1 then the host always opens curtain 2 and offers the contestant a chance to switch to curtain 3. What advice would you now give the contestant when, after choosing curtain 1, he is given the opportunity to switch to another curtain? Now suppose that when the contestant chooses curtain 1 the host opens curtain 2 or 3 with equal probability, even when this reveals where the prize is. If in some particular play of the game the host opens curtain 2, which turns out not to have the prize, would it be in the contestant's interest to switch to curtain 3?
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