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From: jfp@emory.UUCP
Newsgroups: net.math
Subject: circle probability
Message-ID: <1141@emory.UUCP>
Date: Wed, 14-Sep-83 14:30:55 EDT
Article-I.D.: emory.1141
Posted: Wed Sep 14 14:30:55 1983
Date-Received: Thu, 15-Sep-83 08:25:06 EDT
Organization: Math & Computer Science, Emory University, Atlanta
Lines: 11

No answers yet to what I thought was a fairly interesting problem:

What is the probability that 3 points chosen at random on a circle
lie within a semicircle (i.e. all within 180 degrees)?

That's not so hard, so then answer the same question for n points.
If that's too easy, try it on the surface of an m-sphere. (I don't
know the answer for the m-sphere - if anyone can give me a reference
I'd be grateful (or a solution)).
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John Pedersen  {sb1,akgua}!emory!jfp