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!harpo!eagle!mhuxt!mhuxi!mhuxa!houxm!ihnp4!ihuxr!lew From: lew@ihuxr.UUCP Newsgroups: net.math Subject: correction to posted puzzle answer Message-ID: <588@ihuxr.UUCP> Date: Sun, 28-Aug-83 22:44:07 EDT Article-I.D.: ihuxr.588 Posted: Sun Aug 28 22:44:07 1983 Date-Received: Tue, 30-Aug-83 01:11:04 EDT Organization: BTL Naperville, Il. Lines: 15 Argh! I misstated the formula for P(M,N) in my posting. To repeat: The probability of correctly "sticking" on the highest of N numbers by picking M and then stopping on the next number which is the highest so far is: P(M,N) = M/N * sum i = M, N-1 of 1/i In my posting of this answer I had 1/N instead of M/N. My description of the derivation was correct. As long as I'm posting, note that P(N/2,N) -> log 2 / 2 (.346574) as N -> infinity. P(5,10) = .3728, not much worse than P(3,10) = .3987 Lew Mammel, Jr. ihuxr!lew