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Article #2595Re: ARRGGHHHH
From: Bryan Moore
Date: Tue, 26 Jan 1993 20:52
Date: Tue, 26 Jan 1993 20:52
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2120 bytes
From: karr@cs.cornell.edu (David Karr) >In article <C1GuHw.zuF@austin.ibm.com> bmoore@sunfish.austin.ibm.com (Bryan Moore) writes: >>[...] >>Back to the dice... Roll two dice 100 times. Get 100 pieces of paper and >>write the results of the first die on one side and write the results >>of the second die on the other side of the piece of paper. Put all the >>pieces of paper in a hat. Now pick a piece of paper out of the hat. >>You see a six on the piece of paper, what is the probability that the >>other side has a six? IT IS 1/11!!!!!!! >No, it's 1/6. Have you tried it? Get someone who really understands >probability to explain it to you. Or you can simulate it easily on a >computer, but remember, a paper with two 6's can be selected in two >different ways but a paper with only one 6 can be selected in only one >way (if the first side you look at is the other side you have to >discard the event). >-- David Karr (karr@cs.cornell.edu) Ooops...you are right about the dice. And after pondering this whole problem for a while I've come to the conclusion that the answer to the original problem can be either 1/3 or 1/2 depending on how you word and interpret the question. I like the way Martin Gardner worded the problem in one of his books. There are two owls in a cage. One of them is male. What is the probability they are both male? Now, the way this is worded, I don't see how you can argue for an answer of 1/2 over 1/3. Oh, and by the way David, do you *really* understand probability? :-) -Bryan -- _/_/ _/_/_/ bmoore%sunfish.ibm.com@ibmpa.austin.ibm.com _/_/_/_/ _/_/_/_/_/
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Path: arc1-ca.pugleaf.net!sparky!uunet!das.wang.com!ulowell!m2c!nic.umass.edu!noc.near.net!hri.com!spool.mu.edu!uwm.edu!cs.utexas.edu!geraldo.cc.utexas.edu!portal.austin.ibm.com!awdprime.austin.ibm.com!sunfish.austin.ibm.com!bmoore From: bmoore@sunfish.austin.ibm.com (Bryan Moore) Newsgroups: rec.puzzles Subject: Re: ARRGGHHHH Message-ID: <C1HBAt.2uIy@austin.ibm.com> Date: 26 Jan 93 20:52:05 GMT Sender: news@austin.ibm.com (News id) Organization: IBM, Austin Lines: 40