Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Posting-Version: version B 2.10.2 9/5/84; site riccb.UUCP Path: utzoo!watmath!clyde!cbosgd!ihnp4!ihopa!riccb!rjnoe From: rjnoe@riccb.UUCP (Roger J. Noe) Newsgroups: net.games,net.math Subject: The Mathematics of Monopoly Message-ID: <513@riccb.UUCP> Date: Thu, 29-Aug-85 13:48:58 EDT Article-I.D.: riccb.513 Posted: Thu Aug 29 13:48:58 1985 Date-Received: Sat, 31-Aug-85 09:24:05 EDT References: <808@whuxlm.UUCP> <43600004@hpcnof.UUCP> <504@riccb.UUCP> <512@riccb.UUCP> Organization: Rockwell International - Downers Grove, IL Lines: 148 Xref: watmath net.games:2161 net.math:2226 There are form feeds separating sections of these results. See article <512@riccb.UUCP> for explanations. Overall Probabilities of Being on each Space 2.7058% Go 1.8637% Mediterranean Ave. 1.8835% Community Chest 1.8912% Baltic Ave. 2.0367% Income Tax 2.6007% Reading Railroad 1.9792% Oriental Ave. 2.0185% Chance 2.0309% Vermont Ave. 2.0131% Connecticut Ave. 1.9862% Just Visiting 2.3732% St. Charles Place 2.4250% Electric Company 2.0176% States Ave. 2.2487% Virginia Ave. 2.4446% Pennsylvania Railroad 2.4839% St. James Place 2.4320% Community Chest 2.6144% Tennessee Ave. 2.6068% New York Ave. 2.6191% Free Parking 2.4239% Kentucky Ave. 2.5836% Chance 2.3804% Indiana Ave. 2.7774% Illinois Ave. 2.6822% B. & O. Railroad 2.3551% Atlantic Ave. 2.3358% Ventnor Ave. 2.4615% Water Works 2.2612% Marvin Gardens 2.3069% Go To Jail 2.3411% Pacific Ave. 2.2966% North Carolina Ave. 2.3621% Community Chest 2.1860% Pennsylvania Ave. 2.1256% Short Line 2.0211% Chance 1.9115% Park Place 1.9062% Luxury Tax 2.3051% Boardwalk 8.7021% In Jail Expected Revenue per Move (dollars) Utilities Owned one both 0.746 1.600 Electric Company 0.762 1.736 Water Works Railroads Owned one two three four 0.713 1.427 2.853 5.707 Reading Railroad 0.674 1.348 2.697 5.394 Pennsylvania Railroad 0.751 1.503 3.005 6.010 B. & O. Railroad 0.531 1.063 2.126 4.251 Short Line Base Monopoly with Number of Houses Shown With rent 0 1 2 3 4 hotel 0.037 0.075 0.186 0.559 1.677 2.982 4.659 Mediterranean Ave. 0.076 0.151 0.378 1.135 3.404 6.052 8.511 Baltic Ave. 0.119 0.237 0.594 1.781 5.344 7.917 10.885 Oriental Ave. 0.122 0.244 0.609 1.828 5.483 8.123 11.170 Vermont Ave. 0.161 0.322 0.805 2.013 6.039 9.059 12.079 Connecticut Ave. 0.237 0.475 1.187 3.560 10.679 14.832 17.799 St. Charles Place 0.202 0.404 1.009 3.026 9.079 12.610 15.132 States Ave. 0.270 0.540 1.349 4.048 11.243 15.741 20.238 Virginia Ave. 0.348 0.695 1.739 4.968 13.661 18.629 23.597 St. James Place 0.366 0.732 1.830 5.229 14.379 19.608 24.837 Tennessee Ave. 0.417 0.834 2.085 5.735 15.641 20.855 26.068 New York Ave. 0.436 0.873 2.181 6.060 16.967 21.209 25.451 Kentucky Ave. 0.428 0.857 2.142 5.951 16.662 20.828 24.994 Indiana Ave. 0.555 1.111 2.777 8.332 20.830 25.691 30.551 Illinois Ave. 0.518 1.036 2.591 7.772 18.841 22.963 27.084 Atlantic Ave. 0.514 1.028 2.569 7.708 18.686 22.774 26.861 Ventnor Ave. 0.543 1.085 2.713 8.140 19.220 23.177 27.134 Marvin Gardens 0.609 1.217 3.043 9.130 21.070 25.752 29.849 Pacific Ave. 0.597 1.194 2.986 8.957 20.669 25.262 29.281 North Carolina Ave. 0.612 1.224 3.279 9.837 21.860 26.232 30.604 Pennsylvania Ave. 0.669 1.338 3.345 9.558 21.027 24.850 28.673 Park Place 1.153 2.305 4.610 13.831 32.271 39.187 46.102 Boardwalk Return on Investment per Move (per cent) Utilities Owned one both 0.497 1.067 Electric Company 0.508 1.158 Water Works Railroads Owned one two three four 0.357 0.713 1.427 2.853 Reading Railroad 0.337 0.674 1.348 2.697 Pennsylvania Railroad 0.376 0.751 1.503 3.005 B. & O. Railroad 0.266 0.531 1.063 2.126 Short Line Base Monopoly with Number of Houses Shown With rent 0 1 2 3 4 hotel 0.062 0.124 0.169 0.349 0.799 1.147 1.503 Mediterranean Ave. 0.126 0.252 0.344 0.709 1.621 2.328 2.745 Baltic Ave. 0.119 0.237 0.396 0.891 2.137 2.639 3.110 Oriental Ave. 0.122 0.244 0.406 0.914 2.193 2.708 3.191 Vermont Ave. 0.134 0.268 0.474 0.915 2.237 2.831 3.264 Connecticut Ave. 0.170 0.339 0.494 1.047 2.427 2.747 2.781 St. Charles Place 0.144 0.288 0.420 0.890 2.063 2.335 2.364 States Ave. 0.169 0.337 0.519 1.124 2.444 2.811 3.066 Virginia Ave. 0.193 0.386 0.621 1.307 2.846 3.212 3.470 St. James Place 0.203 0.407 0.654 1.376 2.996 3.381 3.652 Tennessee Ave. 0.209 0.417 0.695 1.434 3.128 3.476 3.724 New York Ave. 0.198 0.397 0.590 1.165 2.532 2.586 2.624 Kentucky Ave. 0.195 0.390 0.579 1.144 2.487 2.540 2.577 Indiana Ave. 0.231 0.463 0.712 1.543 3.019 3.058 3.086 Illinois Ave. 0.199 0.399 0.632 1.388 2.654 2.670 2.682 Atlantic Ave. 0.198 0.395 0.627 1.376 2.632 2.648 2.660 Ventnor Ave. 0.194 0.388 0.631 1.403 2.633 2.634 2.634 Marvin Gardens 0.203 0.406 0.609 1.304 2.341 2.341 2.296 Pacific Ave. 0.199 0.398 0.597 1.280 2.297 2.297 2.252 North Carolina Ave. 0.191 0.383 0.631 1.366 2.376 2.342 2.318 Pennsylvania Ave. 0.191 0.382 0.608 1.274 2.213 2.161 2.124 Park Place 0.288 0.576 0.768 1.729 3.227 3.266 3.293 Boardwalk