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Subject: 
Re: math question (or pattern... whatever...)
Newsgroups: 
lugnet.off-topic.geek
Date: 
Mon, 3 Mar 2003 23:32:38 GMT
Viewed: 
267 times
  
In lugnet.off-topic.geek, David Eaton writes:

<snip>


Now, here's a trickier one:

Ever watched the old game show "Let's Make a Deal"? Sometimes, they'd offer
people things similar to this scenario. You're a game show contestant. Bob
the host shows you 3 doors. You win whatever's behind the door you pick.
Behind 2 of the doors are goats. Behind the other door, there's a brand new
sports car.

You pick door X. Now, before Bob shows you what's behind door X, he opens up
door Y, and shows you... a goat! Bob now says you have a chance to change
your mind, and instead of picking door X, you can switch to door Z.

What's the probability that the sports car is behind door Z versus door X?

DaveE

I'd say 1 in 2, or 50 percent, but maybe I'm missing something.

Good question though.

Dave K



Message has 1 Reply:
  Re: math question (or pattern... whatever...)
 
(...) Actually, there's a 2/3 chance that it's behind door Z! A very sneaky problem, in fact. It was shown to us in high school as the subject of a very minor controversy. After being published as "2/3 chance" in a math publication, some college (...) (22 years ago, 4-Mar-03, to lugnet.off-topic.geek)

Message is in Reply To:
  Re: math question (or pattern... whatever...)
 
(...) Yep, you're right, your friend is wrong. The problem is that you *wouldn't* count "r(2) r(1)" if order didn't matter. But then again, the thing he's forgetting is that if you don't count "r(2) r(1)", then you also CAN'T count *both* "r(1) b" (...) (22 years ago, 3-Mar-03, to lugnet.off-topic.geek)

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