Subject: Re: Probability Paradoxes
Date: Thu, 21 Nov 1996 18:55:24 -0500
From: Alex Bogomolny
Much as I am willing to help I can't cut your work for you. It's either too little or too much (the latter I just can't afford).
Martin Gardner discussed your and many more relevant questions in several books. For example,
- aha! Gotcha, W.H.Freeman&Co, NY, 1982
- Knotted Doughnuts, W.H.Freeman&Co, NY, 1986
Each contains further references.
Marylin vos Savant in The Power of Logical Thinking (St.Martin's Press, NY, 1996) has a fantastic list of examples on misuse of statistics.
M.Gardner in his Time Travel and Other Mathematical Bewilderments (W.H.Freeman&Co, NY, 1986) has a chapter on Nontransitive Paradoxes - extremely surprising facet of probability.
I would be happy to hear what you found most interesting.