Step-by-step · Step-by-step · 7 minute

Step-by-step: climbin up wid Fibonacci

Stake a 1, 1, 2, 3, 5, 8, 13 pon blackbet demBlackEven-money bet pon di 18 black numba. Inna French: noir.Read di whole ting →, an step back two afta a win. A slower Martingale, an ow di cliff reach.

Short ansa

A simulate Fibonacci session a 90 spin, $5 a unit. Twenty cycle clear fi $5 each, one bad run reach di ninth term ($170 stake) an lef di session down $340. Softer dan doublin, till it nuh soft no more.

unit
$5 pon black
sequence
1 1 2 3 5 8 13 21 34
cliff
$170 stake at di ninth term
result
−$340 ova 90 spin

Walk tru di sequence

A loss move one step to di right. A win move two step back.

11235813213455Lose
nex stake1result till now0spin0

Stake an result deh inna unit a di base bet.

Di plan

Stake di fus Fibonaccistrategy demFibonacciProgression weh follow di sequence 1, 1, 2, 3, 5, 8, 13…: one step forward afta a loss, two step back afta a win.Read di whole ting → numba, $5. Afta a loss, move one step right inna di sequence. Afta a win, move two step lef. A cycle clear wen wi back at di start an one unitmoney mattaUnitDi base stake weh a system or a playa work wid. Dem describe progression inna unit suh dem work at any table.Read di whole ting → up. Compare to Martingalestrategy demMartingaleProgression weh double di bet afta evry loss. Look inna di Strategy section fi see wah it do an wah it nuh do.Read di whole ting →, di stake grow by ×1.6 instead a ×2, suh di cliff further way an di climb back slower: a win nuh end di cycle, it only step back.

Spin 1–40

Eleven cycle clear, an di longes one reach di fifth term ($25). Evry cycle weh clear net exactly $5; di bookkeepin nice an di stake dem stay small. Net +$55. It feel like a Martingale widout di panic.

cyclesequencestakenet
1Win5+$5
2Lose Win Win5, 5, 5 → clear+$5
3Lose Lose Win Lose Win Win5, 5, 10, 5, 5, 5+$5
4Lose Lose Lose Win Win Win5, 5, 10, 15, 5, 5+$5
5–11top: 5th term ($25)≤ 25+$35
afta 40 spin11 cycle clear+$55

Spin 41–70

Five more cycle clear by spin 60 (+$25). Den come di cycle weh nuh clear. Lose Lose Lose Lose Lose Lose Lose Win Lose Lose: stake 5, 5, 10, 15, 25, 40, 65 (seven loss, −$165), a win at $105 (+$105, step back two to $40), den two loss at $40 an $65. Now wi deh pon di eighth term, $105, wid −$165 inna di cycle, an di nex loss woulda sen wi to $170 gainst a $200 table limitpon di tableTable limitDi minimum an maximum bet dem allow. Di maximum a weh stop progression weh double up.Read di whole ting →. Net fi di stretch −$140.

Dis session an nine more like itresult versus di start
+$595$0−$500+$480−$2500125250375500spinresult
1,000 session × 500 spin · violet p10/p25/p75/p90, light blue median, 83 faint sample · move ova di chart fi see di quantile dem at a spin
  • p10 −$500
  • p25 −$500
  • median −$500
  • p75 +$390
  • p90 +$480
1,000 session × 500 spin · y-axis cut to di 1st–99th percentile (di extreme dem: −$500 to +$700) · 500 spin · $5 base · even-money bet
Slower climb dan Martingale, a higher an later cliff. Di line dem weh drop, drop far, an dem drop ova a few spin instead a one.

Di table limit dem inna roulette

Spin 71–90

Lose Lose: $105 an den $170 lose, an di cycle deh pon −$440. Di nex stake woulda be $275, ova di limit, suh at spin 72 wi drop di cycle an start back at $5. Dat a di cliff. Di eighteen spin weh lef clear four more cycle. Final −$340; di lowes point a di 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 → did deh pon −$360.

Di stake grow by bout 1.6 afta evry loss; at di eighth step di nex one cyaan fit unda di limit no more.

Di account

Total bet bout $1,200 gainst $450 flat. Expected lossmathsExpected lossExpected value times all di money yuh bet; di average amount yuh lose ova a session or a period (di loss yuh fi expec pon average).Read di whole ting → pon $1,200 a $32; actual −$340 deh bout one an a half standard deviationmathsStandard deviationDi square root a variance; ow far a result usually deh fram di expected value.Read di whole ting → below, a bad session, an di kinda session Fibonacci give nearly one time inna five at dis length. Di cycle dem weh clear pay $5 each; di bad cycle cost eighty-eight a dem.

Wah di session show

Fibonacci spread di Martingale cliff ova a few spin an push it further out, an dat mek it both safer an more trickify: di stake dem inna di sequence look reasonable right up to di one weh nuh reasonable. Di expected loss pon evry dolla nuh change; di extra turnovermoney mattaTurnoverAll di money yuh bet ova a session or a period, countin di winnins yuh bet again (all di money yuh bet, roun afta roun). Nex name: handle, action.Read di whole ting → fram di climb a weh di money go.

Question dem

Wah mek yuh step back two afta a win?

Cause a win at term n get back di loss dem at term n−1 an n−2, an dem two add up to it. Dem build di sequence fi di rule.

Dis safer dan Martingale?

Di bigges stake lower fi di same numba a loss, suh yes, inna di sense a a later cliff. Di expectation same way.

Which a di fus term weh bruk a $500 limit?

Di twelfth one at a $5 unit: 5, 5, 10, 15, 25, 40, 65, 105, 170, 275, 445, den 720.

Sumting fi laugh

Di golden ratio a 1.618. Di house edge still a 2.70%.

Di golden ratio a 1.618. Di house edge still a 2.70%.

Source dem

  1. Ethier, S. N. The Doctrine of Chances: Probabilistic Aspects of Gambling. Springer, 2010. Chapter 13, roulette.
wi check it 2026-09-28model: European wheel, single zeroow wi work it out ↗source dem ↗