Wednesday, June 06, 2007

-- Ivory-bill Light --

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Humor from Tom... NO!!, not THAT Tom... this is 2 years old, but somehow I missed it at the time:

http://www.msnbc.com/comics/editorial_content.asp?sFile=tt050503

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... and more math entertainment :

this is the well-known paradoxical 'game show' riddle of some years ago that many of you are likely familiar with (and which created a lot of controversy at the time); but if you're young enough or unmathematically-inclined enough, it might be new to you:

A game show host presents contestant Birder Bob with 3 doors, one of which has a brand-spanking new pair of Zeiss 10x42 FL T binoculars behind it, the other 2 have dead starlings -- the host KNOWS what is behind each door. Bob gets to pick a door and win the prize behind it (hopefully the binocs). The host asks Bob for his pick and he chooses door #3. The host, knowing where the starlings are, says I'll show you what's behind Door #1, and opens it, revealing a starling corpse. He then asks Bob if he would like to change his original door choice (to #2) or stick with #3, before revealing the prize. Should Bob switch, stick with his first choice, or does it make any difference (for his best odds of getting the binos)?

the answer down below:
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Statistically speaking, Bob essentially DOUBLES his chance of winning the binos by SWITCHING his door choice. I've changed some of the verbiage in the problem above, but for any disbelievers the problem and explanation in its more standard form can be found here:

http://math-play.blogspot.com/2007/05/monte-hall-problem.html

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2 comments:

John L. Trapp said...

I'm a big fan of Tom Toles, but I somehow managed to miss that one, too. Thanks for shring.

cyberthrush said...

no problem, I can shring with the best of 'em ;-)