@M $U#.####Press F1 for main menuPress F9 to restart programPROBLEM OF THE POINTSAYou are playing repeated rounds of a game. Your chance of winning a single game is P (0 < P < 1).=To win the whole series of games, you must win K games beforeyour opponent wins N games.;(The values of K and N are agreed upon before play begins.)9The program simulates many series of games and calculates,the proportion of these series that you won.4Your probability of winning one game (Default = .5) )P must be between O and 1--please reenterIHow many games does your opponent need to win the series (Default = 1) ? =How many games do you need to win the series (Default = 1) ? ,Number of series to simulate (Default = 10) SIMULATION RUNNING Press any key to stop simulationSimulating seriesof games$Proportion of series you have won = .Proportion of individual games you have won = SIMULATION RESULTSIn a simulation ofseries of games in which yourwin probability per game was , there wereseriesin which you wongames before your opponent wongames..The proportion of the series that you won was 0Proportion of individual games that you won was 'Long-term limiting proportion of series&that you can win under these rules is *Send simulation results to printer (Y/N)? Yy'Another simulation of this game (Y/N)? Yy.Same probability and rules for winning (Y/N)? Yy,Number of series to simulate (Default = 10) MENU.CHN$When printer is ready, press any key' SIMULATION RESULTS In a simulation ofseries of games in which your! win probability per game was , there wereseries in which you wongames before your opponent wongames.3 The proportion of the series that you won was 5 Proportion of individual games that you won was , Long-term limiting proportion of series+ that you can win under these rules is Printer NOT READY! ,Please enter Retry, Abort PrintingRPPPu F90蛱M蓼輽.L-Mz许(Mg蛸h纸 ںM:nkM.b,N%YMNPNGN >;N2O) 蕵 舵JO)ȸ},t:EPø3 LMaʷAĸ/B|uOX茷3 )S  ۴OKu ӳ>u  !u H 贴u 5衴(蔴Ow 茳>w  rw <mw ӶZ1Pʵy R>y  ~uy  0^P}豶qPj螶u w H{ }   ĿL}   ' >`2vpOøģ  3á Ϳ> uqV {  ; } ;w | ,[  ¡} οG¡ ο } gſn-wgug첾P9} LP-aͲP/V^=該P V ^ݾ4-=~L } ;y },eQ貺㴾Q覺} 蹴'Q蚺δEQ葺?SƾbQ肺 蕴oQv誴vQmw 耴Qau tQU艴膴QI^V^0liQ,AV ^OP˿ u w  H 뿸 :ʿп md`˿貿U =  + d̿b 辻} Gp R3g5R*?V ѿ^M蹰갸謰O\R躯VR覶_1PVR蕶_ [ tce薰XRűfVRR_ݺPVRA_̺[ t =^s 讱RxVR_萺PVR_[ u,ǯ躯]R'y 诮k[\Sٵ72:"V;_ t?Aø_萯R S蟷VESU_ t( 賱FSv誱觱nSj} }S^蒱SUþSF YS:nS1w DS%u 8TMJT "V贽^0JTV 蚽^ںTֶ TͶV t^贺þT蟴ȵ   ou ø u 2訣X2螣 2蔣*쭾T9ܭT){1?e tڳ蘷#VU跳_B ubVK_% tc1ø