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Old 05-18-2005, 02:22 PM   #1611
Replaced_Texan
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Join Date: Mar 2003
Location: Romantically enfranchised
Posts: 14,281
Who likes Math?

Quote:
Originally posted by Tyrone Slothrop

Or, if you don't want to ask her to do this, just look at this.

STP, no doubt. I'm sure someone beat me to the Walter Scott thing.
This is the best explanation yet:

Quote:
The solution to the problem is yes; the chance of winning the car is doubled when the contestant switches to another door rather than sticking with the original choice.

There are three possible scenarios, all with equal probability (1/3):
  • The contestant picks goat number one. Monty picks goat number two. Switching will win the car.
  • The contestant picks goat number two. Monty picks goat number one. Switching will win the car.
  • The contestant picks the car. Monty picks either of the two goats. Switching will lose.
In the first two scenarios, the contestant wins by switching. The third scenario is the only one where she wins by staying. Since two out of three scenarios win by switching, the odds of winning by switching are 2/3.
ETA STP
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Last edited by Replaced_Texan; 05-18-2005 at 02:25 PM..
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