Di Eudaemons
Physics student dem, a casino wheel weh dem buy wid cash, an a computer suh likkle dem coulda wear it to di table.
Fram 1976 to 1981 a group a physics student at Santa Cruz build digital computer weh time di ball an di rotor an call a sector a di wheel while di bettin did still open. Dem test dem did promise a 44% advantage an a fus long session give bout 25%. Di hardware keep fail, di version weh dem build inna a shoe get beat by electrical noise inna 1981, an dem win a few thousand dollar.
A hunch inna a Las Vegas bar, 1975
Inna di summa a 1975 Norman Packard, a physics student, spen two month a count card at blackjack inna Las Vegas wid a fren, Jack Biles, an dem hardly break even. Ova a las drink Biles seh im woulda bet seh physics coulda beat roulette, an Packard memba a cryptic line inna Edward Thorp book Beat the Dealer bout a method fi roulette. Di two a dem borrow a tape recorder, stand up side a wheel dem inna nuff casino an tap di microphone evry time di ballgearBallDi likkle ball weh di dealer fling roun di track di opposite way to di rotor. Modern ball mek outta ivorine or Teflon, 18–21 mm.Read di whole ting → pass a fix point. Wen dem plot di tap dem pon graph paper, dem show di ball a slow dung an drop inna a regular way. Packard school fren Doyne Farmer, a graduate student at di University of California, Santa Cruz, call it a waste a time till im do di sum imself: a smaddy weh can time di ball to bout a tenth a a second fi able, pon paper, fi seh weh it a go land to widin a few numba.
A wheel inna di physics lab
Inna di spring a 1976 Farmer an Dan Browne pay $1,500 cash fi a fix-up casino wheel at a workshop inna Reno, an seh it did fi a fraternity party. Fi month dem carry it inna di night to di university teachin lab an measure it wid infrared sensor, a home-made electronic clock an a camera weh di soun a di ball a lick metal set off. Wah dem find still a good short list a wah matter inna a spin. Di air do most a di slowin dung, more dan di track. A wheel weh off level by as likkle as a tenth a a inch change weh di ball lef di track, an pon a tilt wheel di ball tend fi come off pon di high side, an dat mek di prediction easier. Ball dem nuh di same: a Teflon ball slow dung twice as fast as one mek outta billiard-ball composite. An wen di ball lef di track it still bounce, pon average nuh more dan a quarter to a third a di way roun. Dat bounce a di question di whole plan did hang pon, an it neva wide enough fi wipe out di prediction. By di end a di summa dem put di possible advantage at 44%, di same figure Thorp did give fi im own device.
Di company an di pie
Dem call di business Eudaemonic Enterprises, fram a Greek word fi di happiness a a life weh yuh live by reason. Evrybaddy weh work pon it did fi get pay fram future winnins by how much hour dem put in: a slice a wah dem call di Eudaemonic Pie. Di winnins did fi pay fi a community a fren dem weh do science pon dem own term.
A computer unda di arm, 1976–1978
Di fus machine grow outta a kit computer weh come by mail inna September 1976 fi $250, build pon di 6502 processor weh Apple computer dem did use too. Farmer, weh neva program bifo, write di equation dem fi di ball an di rotorgearRotorDi part a di wheel weh spin an carry di pocket dem.Read di whole ting → inna it. Di casino version, dem wear it strap to di body, unda di arm or, fi di woman dem, inna a bra. Di playa at di wheel click switch wid im big toe dem: one toe mark di zeropon di wheelZeroDi one green pocket weh no even-money, dozen or column bet nuh cover; a weh di house edge come fram. Nex name: single zero, 0.Read di whole ting → an den di ball evry time dem pass a fix point, di odda one move di program between it setting dem. Fi fit di program to one particular wheel tek bout twenty minute a quiet clickin. Den, a few second inna evry spin, di computer call one a eight sectorpon di wheelSectorA piece a di wheel weh di pocket dem follow one anodda roun di arc, nuh a group pon di betting layout.Read di whole ting → a di wheel, or signal “nuh bet”, by buzz likkle plunger gainst di skin. A second playa farda dung di table, link up by a weak radio signal, feel di same buzz an cover tree or four numba a dat sector, sometime swap in a numba weh deh nex to it pon di wheel suh di pattern harder fi read.
Di fus trip, to Lake Tahoe an Reno inna December 1977, did a one long equipment failure. A few week lata, at di Golden Gate inna downtown Las Vegas, Farmer play alone fi four an a half hour at ten cent a chipmoney mattaChipA token weh stand fi a fix amount, weh yuh put pon di betting layout fi mek a bet. Nex name: check.Read di whole ting →. Di profit did small, but ova nuff hundred spin im an Browne put di edge, carefully, at 25%.
Di summa a 1978
Dat summa di group play inna shift fi week, downtown an pon di Strip, two session a day an neva di same casino two night inna a row. Dem keep a notebook pon evry casino: it wheel dem an how far dem off level, it staff, it shift change dem. Las Vegas wheel dem turn out fi tilt nice nice an di late-night game dem slow, an a dat di computer did need, cause a slow rotor an a fast ball lef more time fi measure an fi bet. Some night did good. At Circus Circus a change a croupierpeople demCroupierDi dealer at a roulette table.Read di whole ting → at two inna di mawnin turn a losin session into nuff hundred dollar at 25 cent a chip. An it did have a steady run a failure: loose wire, radio link weh drif wid di temperature, electric shock fram di antenna wire dem sew inna dem shirt. One night di plunger dem jam, di wirin overheat, an Ingrid Hoermann play on tru a burn radda dan lef a winnin table. Casino staff notice di winnin but neva di method; one time a croupier, vex bout a stack a chip weh a grow, grab di wheel weh a turn an wrench it roun.
Inna thirteen month dem mek eight trip to Nevada an, bettin mostly dime an quarter, dem win a few thousand dollar. A session at di California Club inna December 1978 bring in more dan $1,000 inna tree hour an convince dem seh di method deserve betta hardware.
Packard an Biles time roulette ball wid a tape recorder inna Las Vegas.
Dem buy a casino wheel inna Reno; a summa a measurement; di fus kit computer.
Fus casino trip, Lake Tahoe an Reno. Di equipment fail.
Golden Gate, Las Vegas: four an a half hour at dime stake, edge put at 25%.
Week a play inna Las Vegas wid di computer strap pon di body.
California Club: more dan $1,000 inna tree hour.
Dem rebuild di computer fi fit inside a shoe.
Las Vegas: electrical noise drown out di radio link. Di project stop.
Nevada ban prediction device. The Eudaemonic Pie come out.
Di computer inna a shoe, 1980–1981
Fi get di wire dem off dem body, dem decide fi put evryting inna shoe. Mark Truitt, a new physics graduate weh did walk outta a job interview fi military radar work, spen a year an a half pon it. Di idea weh mek it fit come fram a university technician: switch off di computer between prediction dem, an it need far less battery. Truitt put di chip dem pon two circuit board im etch imself, turn one ova pon top a di odda an full up di gap wid hard wax, an dat mek a block bout two inch by four an half a inch thick weh yuh coulda walk pon. Battery, antenna an two a di tree buzzer go inna di heel. Tree buzzer at tree speed give nine signal: eight sector an “nuh bet”. A shoemaker dig out regular leather shoe an neva ask nuh question.
Inna November 1981 Farmer an di writer Thomas Bass tek di shoe dem an $2,500 to Las Vegas. At di fus table di fus prediction hit, an den di buzzer dem start fire anyhow. Casino full a electrical noise, fram surveillance camera, neon sign an slot machine, an it drown out di weak radio link between di shoe dem; a television set inna di motel room do di same ting. Day a repair by four people couldn’t cure it, an di project stop right deh. Di equipment go inna a trunk inna a basement inna Santa Cruz.
Wah 44% mean
Pon a American wheel a straight upbet demStraight upOne single numba, pay 35:1.Read di whole ting → win one time inna 38 spin pon average an pay 35 to 1, an dat cost di playa 5.26%. A 44% advantage a wah di same bet worth wen it win one time inna 25 spin: 36 chip come back fi evry 25 yuh stake. Suh di computer neva haffi know di numba. It did haffi mek di numba dem it pick come up bout one an a half time as often as chance allow.
Wah mek a big edge still feel like gamblin
A edge at 35 to 1 pay slow an uneven. One a di group adviser dem warn seh a playa weh stake $100 a numba coulda deh $10,000 or $20,000 dung bifo di advantage show, an di arithmetic agree: wid a 44% edge pon single numba, a playa still behind afta 100 spin nearly one time inna four. A dat mek di Eudaemons start at dime an build dem bankrollmoney mattaBankrollAll di money yuh set aside fi play. Fi manage yuh bankroll mean yuh decide ow much a it yuh a go risk pon evry bet an evry session.Read di whole ting → fram winnins, an a dat mek Alan Lewis, weh join dem inna 1978, spen im time pon how much fi bet. Farmer tink lata seh dem did too careful. Small stake keep dem safe, but dem also mean seh year an year a work earn very likkle.
Wah it cost an wah it pay
Bout $15,000 go inna part, tool an Truitt wage, most a it fram Farmer an fram Letty Belin, a lawyer weh lata married im. Dem credit Farmer wid 3,500 hour a work, Truitt wid 3,000 an Packard wid 2,000. Gainst dat, it only have di few thousand dollar dem win at small stake. Inna 1983 Farmer advertise inna a gamblin magazine fi investor, an describe a prototype wid a proven casino advantage a 20 to 40%. Wen di Eudaemons did a play, Belin search Nevada law an find nutten weh ban fi predict a game; inna May 1985 di state mek it a crime fi use a device fi dat. Wah las a di science. Fi build di computer dem train Farmer, Packard an dem fren fi di study a chaos, an a deh so dem mek dem name.
Fi read di book today
Thomas Bass, weh put dung di bet dem pon di las trip, tell di story inna The Eudaemonic Pie (1985), build pon long interview wid di group, an a it a di source fi dis page. It short history a roulette nuh as safe as how it tell di project. It repeat di tale bout Jagger six hire clerk, weh go back to a book fram 1901 an no furda (see Joseph Jagger), an it put Thorp an Shannon casino test inna 1962, weh Thorp own account dem seh a di summa a 1961.
Question dem
No. Dem win a few thousand dollar at dime an quarter stake, an spen bout $15,000 an nuff thousand hour.
Wen dem did a play, Nevada neva have nuh law gainst fi predict a game wid a device. It have one since 1985, an most place weh have casino have one now.
Nuh weh di bettin close as dem launch di ball, like inna live studio, an fi carry dat kinda device inna a casino a crime inna most jurisdiction.
Fun wid maths
Try dem yuhself fus. Evry ansa fold up; open it wen yuh ready.
Di Eudaemons did reckon seh dem computer worth 44% pon a straight upbet demStraight upOne single numba, pay 35:1.Read di whole ting → pon a American wheel, weh di bet pay 35 to 1. Ow often di numba weh dem choose haffi win fi dat be true? An ow much a di 38 pocketgearPocketOne a di 37 compartment wid numba pon di rotor. Nex name: slot, cup.Read di whole ting → a prediction woulda haffi rule out, if di ballgearBallDi likkle ball weh di dealer fling roun di track di opposite way to di rotor. Modern ball mek outta ivorine or Teflon, 18–21 mm.Read di whole ting → did have di same chance fi land inna any a di res?
Show di ansa
Ansa One time outta 25 spin. Dat a di same as fi rule out 13 pocket an lef 25.
A winnin chipmoney mattaChipA token weh stand fi a fix amount, weh yuh put pon di betting layout fi mek a bet. Nex name: check.Read di whole ting → come back wid 35 more: 36 chip. If di numba win one time outta n spin, n chip weh yuh stake bring back 36, suh di bet worth 36/n − 1.
Set dat to 0.44: 36/n = 1.44, suh n = 25. Wid no prediction n a 38 an di bet worth 36/38 − 1 = −5.26%.
Now seh a prediction rule out k pocket an di ball have di same chance fi land inna each a di odda 38 − k. A chip pon one a dem win one time outta 38 − k spin. Fi 44% wi need 38 − k = 25, suh k = 13: a likkle more dan a third a di wheel.
Inna di book dem quote Farmer seh 40% come fram fi rule out eight pocket. Pon dis simple model eight give 36/30 − 1 = 20%, suh di real picture musa did uneven: some a di pocket weh lef did far more likely dan odda one dem.
pocket weh rule outpocket weh lefa straight up worth038−5.26%2360%830+20%1325+44%1919+89%Seh yuh numba really win one time outta 25 spin at 35 to 1, a 44% edge. Yuh bet one chip a spin. Ow likely yuh fi deh behind afta 100 spin? Afta 500?
Show di ansa
Ansa Bout 23% afta 100 spin an still bout 6% afta 500.
Afta 100 spin yuh stake 100 chip, an each win bring back 36. Two win bring 72, a loss a 28; tree bring 108, a gain a 8. Suh yuh deh behind if yuh win two time or less.
Di chance a no win inna 100 spin a (24/25)¹⁰⁰ = 1.7%. Exactly one win: 100 × (1/25) × (24/25)⁹⁹ = 7.0%. Exactly two: 4,950 × (1/25)² × (24/25)⁹⁸ = 14.5%. Togedda 23.2%.
Afta 500 spin yuh need 14 win fi deh ahead (14 × 36 = 504), an di average a 20. Di chance a 13 or less a bout 6.2%.
Dis a di odda side a a long-odds bet. Di edge big, an inna bout one run a 100 spin outta four it nuh show. A playa weh nuh know fi sure seh di edge deh deh cyaan tell a bad run fram a broke computer, an dat a di position di Eudaemons did inna nuff time.
spinwin yuh need fi deh aheadchance fi deh behind50240.1%100323.2%200618.6%500146.2%Di book seh dat wid a 44% edge, $100 weh yuh stake 50 time a hour fi earn $2,200 a hour. Check it. Den work out wah di same edge did earn at di stake di group really play: a dime a spin.
Show di ansa
Ansa $2,200 right fi $100 a spin. At a dime a spin it a $2.20 a hour.
A edge a a share a evryting weh yuh stake. At $100 a spin an 50 spin a hour, $5,000 get stake, an 44% a dat a $2,200.
At 10 cent a spin, $5 get stake inna a hour, an 44% a $5 a $2.20. Even if dem cover four numba at a dime each, it a $8.80 a hour fi two people.
Di group play low cause dem did a build a bankrollmoney mattaBankrollAll di money yuh set aside fi play. Fi manage yuh bankroll mean yuh decide ow much a it yuh a go risk pon evry bet an evry session.Read di whole ting → fram nutten an cause, as di puzzle up top show, a 44% edge at 35 to 1 can lose fi hours. Di price a dat caution a seh di method coulda work perfect an still pay less dan a job.
Sumting fi laugh
Di physics work. Di neon win.
Source dem
- Bass, T. A. The Eudaemonic Pie.
- Thorp, E. O. “Optimal gambling systems for favorable games.”
- Thorp, E. O. “The invention of the first wearable computer.”
- Nevada Revised Statutes, chapter 465.