Piquemouche Roulette Strategy

Steps and open question

Use an outside wager of one unitmoneyUnitThe base stake a system or a player works in. Progressions are described in units so they apply at any table.Read full →. Keep the same stake for three losses, then double it for the next three-loss block: 1, 1, 1, 2, 2, 2, 4, 4, 4, and so on. A win holds the stake, and three consecutive wins reset to one. The rule does not say how a win between losses affects the loss counter, nor how a loss between wins affects the reset counter. Those mixed states cannot responsibly be filled in by assumption.

All-loss schedule

This table records the part of the method that is unambiguous: consecutive losses without an intervening win.

Worked example

Three losses at one unit cost three. The next stake is two, not four. If that two-unit wager wins, its net gain is two and the run remains one unit behind before any later rule is applied. The instruction to hold after a win means the following stake is still two unless a separately completed three-win reset occurs. It does not prove that the loss counter has disappeared, because that transition is not specified.

Expectation and risk

Each outside unit on a European wheel has expected lossmathExpected lossExpected value times total amount wagered; the average amount lost over a session or a period.Read full → 1/37. Delaying a double for three losses slows the immediate rise compared with doubling every loss, but amounts still double repeatedly in a sufficiently long loss history. It is also possible for a mixed sequence to reach a state that no written instruction resolves. A playable plan therefore needs an independently chosen convention for both counters, a maximum level, and a response to table limitstableTable limitMinimum and maximum bet allowed. The maximum is what stops doubling progressions.Read full →; none turns a negative per-unit expectation positive.

Questions