Julie,

There is an explanation for this on the following web page:

http://yudkowsky.net/bayes/bayes.html\

It is pretty deep in the page (after much discussion of urns that contain 
colored plastic eggs, some with pearls and some without), so have patience. 

For JDM wonks, this is a pretty neat page. The author has a bunch of Java 
applets that compute the probabilities for these problems combined with nice 
graphic displays.

Good luck with your class!


Claudia J. Stanny, Ph.D.                      
Director, Center for University Teaching, Learning, and Assessment
Associate Professor, Psychology
University of West Florida
Pensacola, FL  32514 - 5751

Phone:   (850) 857-6355 or (850) 473-7435 
e-mail:  [EMAIL PROTECTED]



-----Original Message-----
From: Julie Osland [mailto:[EMAIL PROTECTED]
Sent: Thu 4/3/2008 3:26 PM
To: Teaching in the Psychological Sciences (TIPS)
Subject: [tips] Bayes' Theorem Help Needed
 
I used some of Scott Plous' quiz items in my Social Psych Class the 
other day, and I am in the process of integrating student answers into 
my lecture, along with feedback on the correct answers.  One of the items is

Imagine two urns filled with millions of poker chips. In the first urn, 
70% of the chips are red and 30%  are blue. In the second urn, 70% of 
the chips are blue and 30% are red. Suppose one of the urns is chosen 
randomly, and a dozen chips are drawn from it: eight red chips and four 
blue chips. What are the chances that the chips come from the urn with 
the mostly red chips?


The answer given by Plous is 97%.  He then references the fact that this 
involves Bayes' theorem and to see a chapter by Edwards (1968)  in 
"formal representation of human judgment." We don't have this book, and 
I'd like to be ready for the student who asks me to show them how to 
arrive at this answer. Can anyone help me

Thanks,

Julie Osland


Dr. Julie A. Osland, M.A., Ph.D.
Assistant Professor of Psychology
Wheeling Jesuit University
316 Washington Avenue
Wheeling, WV 26003

Office: (304) 243-2329
e-mail: [EMAIL PROTECTED]


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