Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10 5/26/83; site ihuxr.UUCP Path: utzoo!linus!decvax!tektronix!uw-beaver!cornell!vax135!ariel!houti!hogpc!houxm!ihnp4!ihuxr!lew From: lew@ihuxr.UUCP Newsgroups: net.math Subject: Never mind, Jim! Message-ID: <658@ihuxr.UUCP> Date: Thu, 22-Sep-83 16:41:32 EDT Article-I.D.: ihuxr.658 Posted: Thu Sep 22 16:41:32 1983 Date-Received: Sat, 24-Sep-83 02:01:27 EDT Organization: BTL Naperville, Il. Lines: 18 Words cannot express my mortification. It looks like Jim Balter's derivation is perfectly sound, after all. I didn't like Jim's justification for taking n times the probability of n-1 points falling in a fixed semicircle to get the answer. I really butchered my paraphrase of this step, I should have said: "The probability of a thing happening once in N tries is N times the probability of a thing happening once in 1 try." Of course, this ISN'T true for independent events, but as Jim stated, the events here are mutually exclusive. It is an elementary theorem that the probability of the union of a set of mutually exclusive events is the sum of their probabilities. I don't know what my problem was. Splattered all over the net ... Lew Mammel, Jr. ihuxr!lew