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IntermediateRisk: High

Fibonacci Strategy

Climb the famous sequence after losses; step back two numbers after wins.

Best for: Even-money players who want a structured middle ground between +1 steps and full doubling

Overview

The Fibonacci system maps stake sizes to the classic sequence 1, 1, 2, 3, 5, 8, 13, 21… After a loss you move one step right; after a win you usually move two steps left (or to the start if you cannot).

Progression grows slower than Martingale but faster than pure D’Alembert unit steps. Recovery still assumes you can continue the sequence until wins appear.

Tracking the current index carefully is essential — mistakes mid-session break the intended recovery math.

Visual progression

Fibonacci stakes (units along the sequence)
112358

How it works

  1. Write or remember the unit sequence: 1-1-2-3-5-8-13-21-34…
  2. Start at the first 1. Bet that many units on even money.
  3. On a loss, advance one position and bet the new number of units.
  4. On a win, move two positions toward the start (standard educational rule).
  5. When you reach the first term again, the cycle is considered reset.

Abbreviated path (unit $2)

  1. Bet 1u ($2) — lose → next 1u
  2. Bet 1u — lose → next 2u
  3. Bet 2u — lose → next 3u
  4. Bet 3u — win → move two steps back to 1u
  5. A longer loss chain can push to 8u, 13u, 21u before relief arrives.

Pros

  • More gradual escalation than Martingale
  • Clear written sequence reduces improvisation
  • Widely documented for even-money structures

Cons

  • Still vulnerable to long losing runs and table caps
  • Win rule variants cause inconsistent results if mixed
  • Negative expectation unchanged

FAQ

Do I need the full infinite sequence?

Practically you only need as many terms as your bankroll and table max allow. Pre-compute a safe depth before playing.