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Old 23-07-2005, 13:54   #3
Graham
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Join Date: May 2005
Age: 61
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Re: Wiki - The Monty Hall problem

Quote:
Originally Posted by TheBlueRaja
i say they are talking buttkiss because after the host opens the door and shows that there is a goat behind it there is a 50/50 chance of the player winning at this point - so therefore switching wont increase the odds of winning.

Right?
Wrong.

See the example lower down the page of increasing the number of doors.

If there are 100 doors your chance of picking the right one are 1:100. If the host opens one door and it's not the right one your chances have "improved" (only slightly! But improved none the less) to 1:99

If he opens *all* the other doors bar one however (which is the equivalent of what actually happens) then the odds change from 1:100 for the first door to 99:100 for the other one!

You *may* have got lucky on that first 1:100 shot, but it's much more likely that switching will give the prize.
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