---------------------------------------------------- Exit capital: N=, 800 Prob. of winning a round:, 3/5 If the inital capital is, 400, then the Breiman profile is [[0.4875000000, 0.6000000000, 1.], [0.5000000000, 0.9711635174, 48.60618894], [0.5125000000, 0.9822257277, 47.78999661], [0.5250000000, 0.9853037096, 46.57697761], [0.5375000000, 0.9879881528, 44.67797128], [0.5500000000, 0.9889647368, 43.77929446], [0.5625000000, 0.9903152004, 42.24957117], [0.5750000000, 0.9916568355, 40.40506393], [0.5875000000, 0.9919756177, 39.94197660], [0.6000000000, 0.9924211762, 39.24135429], [0.6125000000, 0.9942969545, 36.02278454], [0.6250000000, 0.9946206762, 35.44187520], [0.6375000000, 0.9948565916, 34.99708877], [0.6500000000, 0.9950956939, 34.53406772], [0.6625000000, 0.9952433060, 34.24546836], [0.6750000000, 0.9954342186, 33.86760616], [0.6875000000, 0.9955315568, 33.67967343], [0.7000000000, 0.9957130541, 33.33625925], [0.7125000000, 0.9957848284, 33.21173939], [0.7250000000, 0.9959731803, 32.92129897], [0.7375000000, 0.9960503653, 32.82291335], [0.7500000000, 0.9960772682, 32.79692658], [0.7625000000, 0.9961107745, 32.78261940], [0.7750000000, 0.9961437217, 32.78675441], [0.7875000000, 0.9961608615, 32.81208668], [0.8000000000, 0.9961832239, 32.90571572], [0.8125000000, 0.9961903105, 32.95868402], [0.8250000000, 0.9961950600, 33.04231332], [0.8375000000, 0.9961962690, 33.18235248]] If the inital capital is, 450, then the Breiman profile is [[0.1125000000, 0.6864000000, 1.377622378], [0.1250000000, 0.7033727680, 2.579512151], [0.1375000000, 0.7044813059, 2.667256231], [0.1500000000, 0.7077841604, 3.024732530], [0.1625000000, 0.7176890071, 4.066673218], [0.1750000000, 0.7227963573, 4.670177088], [0.1875000000, 0.7310051556, 5.587353163], [0.2000000000, 0.7335163055, 5.942206853], [0.2125000000, 0.7412597262, 7.099457919], [0.2250000000, 0.7567137783, 9.220978185], [0.2375000000, 0.7678390704, 10.90816461], [0.2500000000, 0.7817377872, 12.84073125], [0.2625000000, 0.7850467075, 12.39345500], [0.2750000000, 0.7856702389, 11.89404737], [0.2875000000, 0.7861488356, 11.77772567], [0.3000000000, 0.7878161392, 11.92684702], [0.3125000000, 0.7903871408, 12.27982669], [0.3250000000, 0.7964612129, 13.14042311], [0.3375000000, 0.8004488286, 13.73010476], [0.3500000000, 0.8069655016, 14.64933136], [0.3625000000, 0.8116257907, 15.30566187], [0.3750000000, 0.8195990018, 16.39267014], [0.3875000000, 0.8215072558, 16.53095128], [0.4000000000, 0.8233775663, 16.80619468], [0.4125000000, 0.8258555529, 17.21459864], [0.4250000000, 0.8344633804, 18.82800378], [0.4375000000, 0.8489708917, 21.62994584], [0.4500000000, 0.8696284324, 25.35897831], [0.4625000000, 0.8880940239, 28.73720896], [0.4750000000, 0.9142787763, 33.69890311], [0.4875000000, 0.9353046134, 37.79713272], [0.5000000000, 0.9727413258, 45.14055141], [0.5125000000, 0.9813463092, 44.91452742], [0.5250000000, 0.9838615713, 43.98675244], [0.5375000000, 0.9858280872, 42.64616975], [0.5500000000, 0.9865533463, 41.99409949], [0.5625000000, 0.9930912107, 33.71653542], [0.5750000000, 0.9938212406, 32.75499852], [0.5875000000, 0.9941246514, 32.31235939], [0.6000000000, 0.9946363858, 31.49834206], [0.6125000000, 0.9949772506, 30.91286677], [0.6250000000, 0.9953244343, 30.28352170], [0.6375000000, 0.9954905530, 29.97374435], [0.6500000000, 0.9957784741, 29.41315115], [0.6625000000, 0.9958969879, 29.18242642], [0.6750000000, 0.9960040030, 28.97330610], [0.6875000000, 0.9966035826, 27.78524086], [0.7000000000, 0.9966889675, 27.62600081], [0.7125000000, 0.9967320222, 27.55197436], [0.7250000000, 0.9968130344, 27.42534516], [0.7375000000, 0.9968499922, 27.37726057], [0.7500000000, 0.9969009792, 27.33004305], [0.7625000000, 0.9969501562, 27.30275371], [0.7750000000, 0.9969638711, 27.30689530], [0.7875000000, 0.9970059296, 27.35648251], [0.8000000000, 0.9970222851, 27.41782446], [0.8125000000, 0.9970502164, 27.70823618], [0.8250000000, 0.9970530054, 27.76728277], [0.8375000000, 0.9970542958, 27.84670738]] If the inital capital is, 500, then the Breiman profile is [[0.2375000000, 0.7440000000, 1.387096774], [0.2500000000, 0.7873290822, 5.307246315], [0.2625000000, 0.7882944707, 5.178410587], [0.2750000000, 0.7885435344, 4.971773487], [0.2875000000, 0.7894168236, 4.918388034], [0.3000000000, 0.7902049471, 4.984596946], [0.3125000000, 0.7952103186, 5.431129636], [0.3250000000, 0.7982400606, 5.837421433], [0.3375000000, 0.8018531188, 6.265083654], [0.3500000000, 0.8081136011, 6.954207796], [0.3625000000, 0.8183574408, 7.956256377], [0.3750000000, 0.8226156678, 8.519905817], [0.3875000000, 0.8239709174, 8.600897734], [0.4000000000, 0.8259172512, 8.843512695], [0.4125000000, 0.8275299684, 9.089594162], [0.4250000000, 0.8363290852, 10.53325234], [0.4375000000, 0.8626108306, 14.32417009], [0.4500000000, 0.8780601609, 17.03109263], [0.4625000000, 0.8962117725, 20.00414317], [0.4750000000, 0.9141370493, 23.50231321], [0.4875000000, 0.9402542251, 27.67864182], [0.5000000000, 0.9734734544, 33.87517889], [0.5125000000, 0.9871237674, 33.84054801], [0.5250000000, 0.9901957431, 32.44627798], [0.5375000000, 0.9919117738, 31.25962123], [0.5500000000, 0.9925012864, 30.73033584], [0.5625000000, 0.9932420065, 29.90884934], [0.5750000000, 0.9936790528, 29.34570673], [0.5875000000, 0.9940027559, 28.87702666], [0.6000000000, 0.9942696939, 28.46431517], [0.6125000000, 0.9945270512, 28.03117850], [0.6250000000, 0.9965567201, 24.23681961], [0.6375000000, 0.9967394825, 23.89382317], [0.6500000000, 0.9968672769, 23.64903636], [0.6625000000, 0.9969610404, 23.46715540], [0.6750000000, 0.9970801068, 23.23372806], [0.6875000000, 0.9971405074, 23.11809335], [0.7000000000, 0.9972599670, 22.89421093], [0.7125000000, 0.9973013456, 22.82305820], [0.7250000000, 0.9974222167, 22.63623962], [0.7375000000, 0.9974655238, 22.57891628], [0.7500000000, 0.9974943899, 22.55039566], [0.7625000000, 0.9976778328, 22.42532629], [0.7750000000, 0.9976916819, 22.42755970], [0.7875000000, 0.9977039536, 22.44541315], [0.8000000000, 0.9977194892, 22.50734491], [0.8125000000, 0.9977357122, 22.62229678], [0.8250000000, 0.9977385115, 22.67688786], [0.8375000000, 0.9977398794, 22.80295419]] If the inital capital is, 550, then the Breiman profile is [[0.3625000000, 0.8016000000, 1.574850299], [0.3750000000, 0.8291125240, 4.031901318], [0.3875000000, 0.8296007485, 4.059579278], [0.4000000000, 0.8303527294, 4.151989435], [0.4125000000, 0.8307612681, 4.219649094], [0.4250000000, 0.8335534277, 4.669110679], [0.4375000000, 0.8464323507, 6.555600809], [0.4500000000, 0.8521840681, 7.638192078], [0.4625000000, 0.9169721876, 15.75650356], [0.4750000000, 0.9305015444, 18.45480466], [0.4875000000, 0.9485669859, 21.55033593], [0.5000000000, 0.9831727690, 27.41589339], [0.5125000000, 0.9883068937, 27.35033424], [0.5250000000, 0.9915952003, 25.90691847], [0.5375000000, 0.9928975019, 25.03838004], [0.5500000000, 0.9948354720, 23.19099214], [0.5625000000, 0.9954270962, 22.54085834], [0.5750000000, 0.9958423007, 21.99729822], [0.5875000000, 0.9960557994, 21.69073811], [0.6000000000, 0.9963143975, 21.28504017], [0.6125000000, 0.9965168858, 20.94558912], [0.6250000000, 0.9967199207, 20.58096387], [0.6375000000, 0.9968694657, 20.30255549], [0.6500000000, 0.9969471974, 20.15545040], [0.6625000000, 0.9971133635, 19.83038093], [0.6750000000, 0.9971790303, 19.70308526], [0.6875000000, 0.9979636161, 18.18785848], [0.7000000000, 0.9980418029, 18.04424889], [0.7125000000, 0.9980693814, 17.99690271], [0.7250000000, 0.9981003429, 17.94950592], [0.7375000000, 0.9981370489, 17.90160614], [0.7500000000, 0.9981550900, 17.88430117], [0.7625000000, 0.9981966263, 17.86470067], [0.7750000000, 0.9982093600, 17.86885653], [0.7875000000, 0.9982412281, 17.92255608], [0.8000000000, 0.9982653021, 18.00386035], [0.8125000000, 0.9982713011, 18.05042190], [0.8250000000, 0.9982738167, 18.10859854], [0.8375000000, 0.9982862148, 18.67600228]] If the inital capital is, 600, then the Breiman profile is [[0.4875000000, 0.8400000000, 1.285714286], [0.5000000000, 0.9884654070, 20.10215859], [0.5125000000, 0.9928902911, 19.91067507], [0.5250000000, 0.9941214838, 19.46553749], [0.5375000000, 0.9951952611, 18.74176708], [0.5500000000, 0.9955858947, 18.39525586], [0.5625000000, 0.9961260802, 17.80124369], [0.5750000000, 0.9966627342, 17.08084920], [0.5875000000, 0.9967902471, 16.89962062], [0.6000000000, 0.9969684705, 16.62494788], [0.6125000000, 0.9977187818, 15.35969558], [0.6250000000, 0.9978482705, 15.13089462], [0.6375000000, 0.9979426366, 14.95554541], [0.6500000000, 0.9980382776, 14.77289944], [0.6625000000, 0.9980973224, 14.65901797], [0.6750000000, 0.9981736874, 14.50986286], [0.6875000000, 0.9982126227, 14.43568573], [0.7000000000, 0.9982852216, 14.30014621], [0.7125000000, 0.9983139313, 14.25104065], [0.7250000000, 0.9983892721, 14.13665191], [0.7375000000, 0.9984201461, 14.09800287], [0.7500000000, 0.9987006752, 13.87750590], [0.7625000000, 0.9987169604, 13.87121647], [0.7750000000, 0.9987254522, 13.87329166], [0.7875000000, 0.9987334012, 13.88565986], [0.8000000000, 0.9987429581, 13.92243440], [0.8125000000, 0.9987671220, 14.07077156], [0.8250000000, 0.9987690798, 14.10693470], [0.8375000000, 0.9987701737, 14.18830645]] If the inital capital is, 650, then the Breiman profile is [[0.2375000000, 0.8976000000, 1.459893048], [0.2500000000, 0.9149316329, 2.826824746], [0.2625000000, 0.9153177883, 2.783910456], [0.2750000000, 0.9154174137, 2.713080734], [0.2875000000, 0.9157667294, 2.695915841], [0.3000000000, 0.9160819788, 2.719869294], [0.3125000000, 0.9180841274, 2.881696982], [0.3250000000, 0.9192960242, 3.027492131], [0.3375000000, 0.9207412475, 3.182448926], [0.3500000000, 0.9232454404, 3.434797794], [0.3625000000, 0.9273429763, 3.808480475], [0.3750000000, 0.9290462671, 4.017549615], [0.3875000000, 0.9295883670, 4.049474304], [0.4000000000, 0.9303669005, 4.140270657], [0.4125000000, 0.9310119873, 4.231714166], [0.4250000000, 0.9345316341, 4.770558417], [0.4375000000, 0.9450443323, 6.229885558], [0.4500000000, 0.9512240644, 7.288454842], [0.4625000000, 0.9584847090, 8.481788050], [0.4750000000, 0.9656548197, 9.899385086], [0.4875000000, 0.9761016901, 11.66485600], [0.5000000000, 0.9893893818, 14.33209675], [0.5125000000, 0.9948495070, 14.43110049], [0.5250000000, 0.9960782972, 13.90186381], [0.5375000000, 0.9967647095, 13.44297116], [0.5500000000, 0.9970005146, 13.23666283], [0.5625000000, 0.9972968026, 12.91489853], [0.5750000000, 0.9974716211, 12.69365161], [0.5875000000, 0.9976011024, 12.50914690], [0.6000000000, 0.9977078776, 12.34648991], [0.6125000000, 0.9978108205, 12.17557145], [0.6250000000, 0.9986226880, 10.67467122], [0.6375000000, 0.9986957930, 10.53880736], [0.6500000000, 0.9987469108, 10.44181162], [0.6625000000, 0.9987844162, 10.36972555], [0.6750000000, 0.9988320427, 10.27719058], [0.6875000000, 0.9988562029, 10.23135373], [0.7000000000, 0.9989039868, 10.14261244], [0.7125000000, 0.9989205382, 10.11442534], [0.7250000000, 0.9989688867, 10.04047708], [0.7375000000, 0.9989862095, 10.01781840], [0.7500000000, 0.9989977560, 10.00658406], [0.7625000000, 0.9990711331, 9.957620812], [0.7750000000, 0.9990766728, 9.958587610], [0.7875000000, 0.9990815814, 9.965785318], [0.8000000000, 0.9990877957, 9.990607938], [0.8125000000, 0.9991535664, 10.70506393], [0.8250000000, 0.9991545770, 10.72501723], [0.8375000000, 0.9991551490, 10.76203152]] If the inital capital is, 700, then the Breiman profile is [[0.4875000000, 0.9360000000, 1.461538462], [0.5000000000, 0.9953861628, 8.984956640], [0.5125000000, 0.9971561164, 8.930198950], [0.5250000000, 0.9976485935, 8.758687433], [0.5375000000, 0.9980781044, 8.475053387], [0.5500000000, 0.9982343579, 8.338580212], [0.5625000000, 0.9984504321, 8.103921248], [0.5750000000, 0.9986650937, 7.818640593], [0.5875000000, 0.9987160988, 7.746813045], [0.6000000000, 0.9987873882, 7.637868702], [0.6125000000, 0.9990875127, 7.135461236], [0.6250000000, 0.9991393082, 7.044537293], [0.6375000000, 0.9991770546, 6.974827523], [0.6500000000, 0.9992153110, 6.902199034], [0.6625000000, 0.9992389290, 6.856908156], [0.6750000000, 0.9992694750, 6.797580604], [0.6875000000, 0.9992850491, 6.768077377], [0.7000000000, 0.9993140887, 6.714169264], [0.7125000000, 0.9993255725, 6.694645591], [0.7250000000, 0.9993557088, 6.649192367], [0.7375000000, 0.9993680585, 6.633852298], [0.7500000000, 0.9994802701, 6.546672578], [0.7625000000, 0.9994867841, 6.544213038], [0.7750000000, 0.9994901809, 6.545070777], [0.7875000000, 0.9994933605, 6.550040792], [0.8000000000, 0.9994971832, 6.564771385], [0.8125000000, 0.9995068488, 6.624143158], [0.8250000000, 0.9995076319, 6.638604346], [0.8375000000, 0.9995080695, 6.671132724]] This took, 178.681, seconds.