Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.1 6/24/83; site mmintl.UUCP Path: utzoo!watmath!clyde!bonnie!akgua!gatech!seismo!cmcl2!philabs!pwa-b!mmintl!franka From: franka@mmintl.UUCP (Frank Adams) Newsgroups: net.games.board Subject: Re: Re: Improved truly fair Rail Baron rules Message-ID: <885@mmintl.UUCP> Date: Mon, 16-Dec-85 03:23:21 EST Article-I.D.: mmintl.885 Posted: Mon Dec 16 03:23:21 1985 Date-Received: Thu, 19-Dec-85 05:54:33 EST References: <1552@cornell.UUCP> <307@tekigm2.UUCP> Reply-To: franka@mmintl.UUCP (Frank Adams) Organization: Multimate International, E. Hartford, CT Lines: 29 In article <307@tekigm2.UUCP> wrd@tekigm2.UUCP (Bill Dippert) writes: >> There are 72 combinations possible for each region/city roll. (72 = 6x6x2 >> for the 2 six-sided and the even/odd roll). The number of combinations that > >> result in the following values with 2 dice are listed below: > >*****WRONG! YOU ARE CALCULATING PERMUTATIONS AND NOT COMBINATIONS. FOR >DETERMINING THE ODDS OF REACHING A REGION YOU NEED THE COMBINATIONS OF THE >DICE NOT THE PERMUTATIONS.***** >> > "Permutations" "Combinations" > Result Ways Result Ways > ------ ---- ------ ---- > 2 1 2 1 > 3 2 3 1 >[etc] No, he was right and you are wrong. You are twice as likely to roll a 3 as a 2 on two dice. Suppose you were rolling the dice one at a time. To roll a two, you have to roll a 1 on each die. The chance for each die to be a 1 is (1/6), so the total chance is (1/6)(1/6) = (1/36). To roll a 3 you can roll a 1 on the first die and a 2 on the second, or a 2 on the first and a 1 on the second. Each of these has a (1/36) chance, giving a total chance of (2/36) or (1/18). The odds aren't any different when both dice are rolled at the same time. Frank Adams ihpn4!philabs!pwa-b!mmintl!franka Multimate International 52 Oakland Ave North E. Hartford, CT 06108