Fibonacci Progression — Slower Recovery, Lower Risk Than Martingale

What Is the Fibonacci?

The Fibonacci system is a negative progression (increase after losses) that follows the famous sequence: 1, 1, 2, 3, 5, 8, 13, 21... Each loss moves you one step forward in the sequence; each win moves you two steps back. It recovers losses more slowly than Martingale but scales up more slowly too — meaning it survives longer before hitting table limits.

How It Works

On a $10 unit base, the Fibonacci sequence is: $10, $10, $20, $30, $50, $80, $130, $210...

After a loss, move one step forward. After a win, move two steps back (minimum: back to step 1).

Example sequence: Lose ($10) → Lose ($10) → Lose ($20) → Win ($30) → now move back two steps to $10. Net recovery: one unit.

Recovery is gradual — you need multiple wins to climb back from a deep losing streak, and each win only recovers two steps rather than the whole sequence. This is the tradeoff for slower escalation.

50,000-Roll Simulation

Run the simulation below to see how the Fibonacci performs across 50,000 dice rolls. Every run uses a fresh random seed — notice how individual sessions vary due to variance, while the long-run trend converges toward the theoretical house edge of 1.41%.

Strategy & Tips

Fibonacci escalates less aggressively than Martingale — you reach step 7 ($130) after 7 consecutive losses vs. $1,280 on Martingale from a $10 base. More breathing room before hitting table limits.

The downside: recovery requires more wins. A seven-loss Fibonacci hole needs multiple winning sessions to fully climb out, while a seven-loss Martingale theoretically recovers on the very next win.

As with all negative progressions, expected value is unchanged — house edge per dollar wagered stays at 1.41%. The progression changes variance and risk-of-ruin profile, not the fundamental math.

How It Compares

FAQ

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