Martingale Roulette
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When Martingale breaks: the streaks and what they cost

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The Martingale does not fail gradually. It works, spin after spin, and then one streak takes back everything and more. Knowing how often the streaks arrive is the difference between a surprise and a budget. Here are the odds, and three sessions that show what they look like from the player's chair.

Streak odds on red, single-zero wheel

Losing probability per spin: 19/37 = 51.35%.

Losses in a row Chance from a given spin Average spins between such streaks
4 6.95% ~14
5 3.57% ~28
6 1.83% ~55
7 0.94% ~106
8 0.48% ~207
9 0.25% ~404

A six-step ladder from £5 is beaten about every 55 sequences. An evening of 150 spins contains roughly 75 sequences at an average of two spins each, so the six-loss streak has better-than-even odds of appearing before you leave.

Session one: it works

£5 base, £500 bankroll, 100 spins. Longest losing run: four. Thirty-eight sequences completed, every one won. Finish: +£190. This is the session the videos show. It happens about half the time.

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Session two: it breaks late

Same setup. Spin 1 to 83: thirty-one sequences won, +£155. Spin 84 to 89: six losses, £315 gone. The ladder was set at six steps before the session started, so the sequence ends there. Finish: £155 − £315 = −£160. The sequence that failed took back thirty-one that succeeded, and then some.

Session three: it breaks early

Same setup. Spin 7 to 12: six losses. Bankroll from £500 to £185. Restart at £5; another twenty sequences won by spin 70, +£100. Spin 71 to 75: five losses, £155 staked, bankroll at £130 cannot cover £160. Finish: £185 + £100 − £155 = £130 left, down £370 on the night.

What the three have in common

Average across many thousands of these sessions: about −£31, which is 2.70% of average turnover. Session one is not evidence the system works; session three is not evidence it is broken. They are the same system producing its distribution, and the distribution has a long left tail that the wins never cover.

The psychological break

The arithmetic break is at the sixth or seventh loss. The psychological break comes earlier, at the fourth or fifth, when the next stake is £80 or £160 to win £5 and every instinct says stop. Players who stop there lose the sequence; players who continue sometimes win it and sometimes meet the sixth loss. There is no good choice at that point, which is the real argument against starting the ladder.

If you still want to run it

Set the bankroll aside, decide the number of steps, and accept in advance that the streak will arrive and the session will end with it about half the time. Treat the small wins as borrowed. And never move the base up after a successful run, because a £10 ladder breaks at the same step for twice the money.

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Good to know

How often do you lose 7 times in a row at roulette?

On an even-money bet on a single-zero wheel, about 0.94% of the time from any given spin. Over 200 spins the chance of such a streak appearing somewhere is roughly 50%.

Does a long run of black mean red is due?

No. Each spin is independent. After seven blacks, red is still 48.65%. The run was chance and its continuing is the same chance.

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