Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP
Posting-Version: version B 2.10.2 9/18/84; site cornell.UUCP
Path: utzoo!watmath!clyde!burl!ulysses!mhuxr!mhuxt!houxm!vax135!cornell!doug
From: doug@cornell.UUCP
Newsgroups: net.games.board
Subject: Re: Re: Improved truly fair Rail Baron rules
Message-ID: <1552@cornell.UUCP>
Date: Mon, 9-Dec-85 12:36:30 EST
Article-I.D.: cornell.1552
Posted: Mon Dec  9 12:36:30 1985
Date-Received: Tue, 10-Dec-85 07:21:34 EST
Sender: doug@cornell.UUCP
Organization: Cornell Univ. CS Dept.
Lines: 41

From: doug (Douglas Campbell)


> From: wrd@tekigm2.UUCP (Bill Dippert)
> > From: doug (Douglas Campbell)
> > 
> > Just for fun, I printed out the probabilities of going to each city under
> > the original and the Seattle rules.  Here are some highlights:
> >
> Out of curiosity:  how did you calculate the odds to get the cities?  Did
> you take into consideration the odds to get to the region first, then the
> odds that once in that region you could roll that city?  Or what?

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:

	Result		Ways
	------		----
	   2		  1
	   3		  2
	   4		  3
	   5		  4
	   6		  5
	   7		  6
	   8		  5
	   9		  4
	  10		  3
	  11		  2
	  12		  1

So, the probability of rolling, say, an even 5 is 4/72.  Adding up the
probabilities for each case gives the total probability.

The city probabilities were computed by multiplying the city's probability
within the region by the region's probability.  Thus, they should be
correct global probabilities (barring typos in my data).

					Doug Campbell
					doug@cornell.{UUCP|ARPA}