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Old 06-08-2006, 09:21 PM
Alan3 Alan3 is offline
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Join Date: Jan 2006
Posts: 41
Default Re: Can someone explain the \"Let\'s Make a Deal\" thing again?

Instead of three doors, let's pretend there are 100 doors.

You choose one.
The host then opens 98 doors knowing that none of them hold the prize.
You saw him do the same thing with all of the previous contestants.
Do you switch from the door you chose to the door that the host didn't open?

What is the chance that you chose the correct door? 1/100
What is the chance that one of the other doors is the correct door? 99/100
If all of the other doors are eliminated but one then there is a 99/100 chance that the prize is behind that single remaining door that you did not choose.

Still not convinced?

Instead of opening the doors, the host offers you the chance to open the door you chose or open all of the doors you did not choose and you win if the prize is behind any of those doors. The answer should be completely obvious at this point.

Does it matter if the host opens the empty doors before or after you make this decision?
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