Strategy · Progression afta loss · 9 min

Martingale strategy fi roulette

Di Martingale roulette strategy double di bet afta evry loss an go back to di base bet afta a win. Evry win get back all di loss dem bifo it plus one base unit. Di page below show wah dat do to a bankroll, an why it cyaan change di expected loss.

Short ansaIt nuh beat di wheel. As a roulette doublin strategy, Martingale give nuff likkle win an a big loss now an den. Ova any amount a spin, di expected loss still a 2.70% a all di money yuh bet, an cause di progression bet nuff money, di expected loss evry session bigga dan fi flat bettin, nuh smalla.

Ow di Martingale roulette system work?

Lose, an double. Win, an go back to di base bet. Dat a di whole system. Wid a $10 base bet an a $500 table limit, di sequence run out afta six loss. Di las column a di probability fi reach dat step pon a even-money bet, weh evry loss have probability 19/37.

loss #nex bettotal weh riskp(reach)

0$10$10100.00%

1$20$3051.35%

2$40$7026.37%

3$80$15013.54%

4$160$3106.95%

5$320$6303.57%

6$640$1,2701.83%

7$1,280$2,5500.94%

Base bet $10, table limit $500. Afta six loss, di nex bet a $640, ova di limit: di progression bruk an yuh lose $630. Di chance fi lose six time straight pon red a (19/37)^6 = 1.83%, roun about one time evry 55 try.

Walk tru di system

A loss double di stake. A win go back to di start.

nex stake1result till now0spin0

Stake an result deh inna unit a di base bet.

Wah a session look like?

Likkle step up, den a trapdoor. Inna a roulette Martingale, evry run a doublin weh finish add one base bet, suh di line climb steady. Di run weh lick di $500 limit tek back $630 one time: 63 a dem step deh.

Ten Martingale session, $10 base, $500 limitresult versus di start

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 −$1,000
p25 −$1,000
median −$1,000
p75 +$930
p90 +$1,830

1,000 session × 500 spin · y-axis cut to di 1st–99th percentile (di extreme dem: −$1,000 to +$2,640) · 500 spin · $10 base · even-money bet

Evry line a one session a even-money bet fram a $1,000 bankroll. Long climb, sudden drop.

Likkle step up, den a trapdoor weh tek dem all back one time.

Simulator

Evry settin run 2,000 session a even-money bet fram a $1,000 bankroll. Di result dem update straight weh.

Base bet

Table limit

Spin evry session

Session result · 2,000 session · 100 spin · $10 base · $500 limitloss ← | → profit

−$1,000$0+$650

hover pon a bar · red bar a losin session, green a winnin, di pale bar cross ova $0

session inna profit

40.8%

di median result

−$130

average result

−$66.44

progression bruk

59.3% a di session dem

di 5th percentile

−$1,000

median a di biggest drawdown

−$650

Most session finish a likkle ahead (40.8%), an dat a di appeal. Di average negative (−$66.44) cause di losin session dem big: di progression hit di table limit inna 59.3% a di session dem. A playa weh bet flat $10 ova di same spin dem fi expec fi lose bout $27.

Ow often a losin run come

A even-money bet pon a single-zero wheel lose 19 spin outta 37. Evry row a di chance seh a certain run a spin all lose, an wah a Martingale playa, weh double afta evry loss, lose by den.

Base bet

loss inna a row	chance	bout 1 outta	lose so far	nex bet
1	51.4%	2	$1	$2
2	26.4%	4	$3	$4
3	13.5%	7	$7	$8
4	7.0%	14	$15	$16
5	3.6%	28	$31	$32
6	1.8%	55	$63	$64
7	0.94%	106	$127	$128
8	0.48%	207	$255	$256
9	0.25%	403	$511	$512
10	0.13%	784	$1,023	$1,024
11	0.065%	1527	$2,047	$2,048
12	0.034%	2974	$4,095	$4,096
13	0.017%	5792	$8,191	$8,192
14	0.0089%	11279	$16,383	$16,384
15	0.0046%	21965	$32,767	$32,768

Di chance a 19/37 multiply by itself one time fi evry loss, count fram one given spin. A long session have nuff spin weh dat kinda run can start, suh ova a evenin it far more likely dan one row show.

A run a fifteen loss come bout one time inna 22,000 try. Dat sound safe. It nuh safe, fi two reason. Evry spin start a new try, an one evenin have hundreds a spin. An nobaddy reach as far as fifteen: fram a $10 base, di $500 limit end di doublin afta six loss, an dat come bout one time inna 55 try.

Why it cyaan change di odds?

Expected value add up. If evry single bet have a expectation a −2.70% a it stake, den any sequence a bet, nuh matta ow yuh choose di stake dem, have a expectation a −2.70% a di total stake. Di stake yuh choose can depend pon past result; it cyaan depend pon di nex one.

E[Σ bᵢ·Xᵢ] = Σ bᵢ·E[Xᵢ] = −(1/37)·Σ bᵢ
bᵢ choose bifo spin i; Xᵢ = ±1 independent a bᵢ

Wrong idea weh people have

“Yuh only haffi win one time fi get back evryting.”

True inna a progression weh finish. Di progression weh nuh finish, cause a di table limit or yuh bankroll, lose di whole sequence, an dat sequence big by design.

“Wid a big enough bankroll it cyaan fail.”

Di table limit stop di doublin long bifo most bankroll stop it. Widout a limit, di bankroll yuh need grow exponential while di gain evry cycle stay at one base unit.

“Six loss inna a row almos cyaan happen.”

Pon red it happen inna 1.83% a six-spin window. Ova a 200-spin session yuh usually wi see at least one run a six.

Sumting fi laugh

Nuff likkle win, one big loss weh rare. An yuh pay di claim yuhself.

Wah di maths sehDi Martingale system inna roulette trade a high probability a a likkle win fi a small probability a a big loss. It a insurance weh sell di wrong way roun: yuh collect a likkle premium most night an pay di big claim weh rare yuhself. It raise di amount yuh bet evry session, suh it raise di expected loss evry session. It nuh reduce di house edge an it cyaan reduce it. If yuh use a Martingale strategy at roulette anyway, know yuh break point fram before: wid a $10 base an a $500 limit, dat a six loss inna a row, a 1.8% event pon evry try. See Managin yuh bankroll an Stop-loss / stop-win.