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Re: Devlin's angle   Message List  
Reply Message #26024 of 133144 |
Not strictly evol-psych related, but you should know for future
reference that, stuck at a boring dinner party, you can create instant
chaos, and sometimes rupture long and close friendships, by
introducing the Monty Hall problem.

Charles Murray


> (snip) A few weeks ago I did one of my occasional "Math Guy" segments
> on NPR's Weekend
> Edition. The topic that I discussed with host Scott Simon was
> probability.
> Among the examples we discussed was the famous - or should I say
> infamous -
> Monty Hall Problem. Predictably, our discussion generated a mountain
> of email,
> both to me and to the producer, as listeners wrote to say that the
> answer I
> gave was wrong. (It wasn't.) The following week, I went back on the
> show to
> provide a further explanation. But as I knew from having written about
> this
> puzzler in newspapers and books on a number of occasions, and having
> used it as
> an example for many years in university probability classes, no amount
> of
> explanation can convince someone who has just met the problem for the
> first
> time and is sure that they are right - and hence that you are wrong -
> that it
> is in fact the other way round.





Tue Jul 8, 2003 12:15 pm

chasmurrayus
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Message #26024 of 133144 |
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Not strictly evol-psych related, but you should know for future reference that, stuck at a boring dinner party, you can create instant chaos, and sometimes...
Charles Murray
chasmurrayus Offline Send Email
Jul 8, 2003
12:24 pm

... A fairly extensive account of the Monty Hall problem is in Chapter 16 of my book, Game Theory Evolving. It turns out that the answer depends on whether...
Herbert Gintis
hgintis Offline Send Email
Jul 8, 2003
2:43 pm

... I am confused now - I reasoned that there is no gain in choosing again because it is still a random choice, with the one already chosen having the same...
Irwin Silverman
isilv@... Send Email
Jul 8, 2003
3:57 pm

A good discussion of this problem can be found here: http://tinyurl.com/gbx3 The answer (switch doors because this increases your chance of winning from 1/3 to...
Liza May
lizamayyyy Offline Send Email
Jul 8, 2003
5:25 pm

... AHA!!! But Charles advised against asking the question at dinner parties (I have to be right about something)...
Irwin Silverman
isilv@... Send Email
Jul 8, 2003
5:26 pm

... -- It gets much more intuitive if you imagine a change in the numbers involved. Suppose I fan out an entire deck of 52 cards and ask you to pick out the...
bowmanthebard Offline Send Email Jul 8, 2003
7:48 pm

... .. Or if describe the same sequence of evens this way: 1) You have selected two doors. 2) The host told you that one of them does not have the prize. ...
Yehouda Harpaz
yehoudah Offline Send Email
Jul 9, 2003
9:52 am

... This is not correct. You already know that one of them does not have the prize, so if MH is merely informing you of this, there is no reason to change. But...
Herbert Gintis
hgintis Offline Send Email
Jul 9, 2003
12:05 pm

Herb wrote: << if MH says, "I have randomly chosen one of your two doors, and it does not have the prize", then you should switch, because the prize is twice a...
Liza May
lizamayyyy Offline Send Email
Jul 9, 2003
5:37 pm

... It's very real. Here's one correct way to see it. Let P mean Prize, and N mean No Prize. Let PNN mean "The prize is behind door 1", NPN mean "The prize is...
Herbert Gintis
hgintis Offline Send Email
Jul 9, 2003
5:38 pm

... My way of explaining it, having had to overcome the illusion myself, is - Monty couldn't pick the door with the prize and he couldn't pick the one you...
Irwin Silverman
isilv@... Send Email
Jul 16, 2003
6:53 pm

... Another way of thinking about this problem is provided by Gerd Gigerenzer in Reckoning With Risk. Imagine there are 100 boxes. In one box there is a prize;...
Dan Jones
dan_rb_jones Offline Send Email
Jul 9, 2003
3:05 pm

... It's still random, but the probabilities may (or may not) have changed. Before MH's move, your chances were 1/3 of winning. What are they after MH shows...
Herbert Gintis
hgintis Offline Send Email
Jul 8, 2003
4:16 pm

On Tuesday, July 8, 2003, at 5:02:26 PM, Herbert Gintis wrote: HG> It's still random, but the probabilities may (or may not) have HG> changed. Before...
Andrew Brown
rackelhanen Offline Send Email
Jul 8, 2003
5:24 pm

... If the third guy asks the jailer the same question, and the jailer points again to the second prisoner, he is saying nothing new, so it can't change the...
Herbert Gintis
hgintis Offline Send Email
Jul 8, 2003
7:36 pm

... (IS) ... (HG) It's still random, but the probabilities may (or may not) have ... (IS) 1/2 - whether or not Monty knew what was behind the door he opened 2...
Irwin Silverman
isilv@... Send Email
Jul 8, 2003
5:25 pm

... My typing finger will fall off if I say this one more time, so this is the last. The answer depends on whether Monty randomly chose a door, or purposely...
Herbert Gintis
hgintis Offline Send Email
Jul 16, 2003
6:51 pm

I'd like to look at this question a different way. Of 999 consecutive contestants making random guesses, about one third should guess correctly on their first...
Alypius Skinner
x65218 Offline Send Email
Jul 18, 2003
9:23 am
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