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Fibonacci — Progression, examples, calculations and risks

Main Betting Systems

How the Fibonacci works

The Fibonacci system follows the famous sequence 1, 1, 2, 3, 5, 8, 13, 21…, where each number is the sum of the two before it. You bet that number of units on an even-money bet (red/black, odd/even, low/high).

After a loss, move one step forward in the sequence; after a win, move two steps back. The sequence ends when you are back at the start.

Bets rise more slowly than with the Martingale, but a win does not recover the whole series: it only cancels the last two losses. You need several wins to get out, and the sequence ends at best with a small profit of one unit, sometimes at zero.

Strengths

  • Gentler bets than the Martingale: about × 1.6 per loss instead of × 2.
  • More losses covered with the same bankroll.
  • Each win cancels the last two losses.

How it works in 3 steps

  1. Sequence 1-1-2-3-5-8…Unit: €10
  2. Loss?Move one step forward
  3. Win?Move two steps back

Bets, loss after loss:

    Progression example (unit: €10)

    SpinSequenceBet (€)ResultNet result (€)

    Tap a result to change it. ✓ = sequence completed.

    Random spins use the real odds: 18 chances in 37 of winning.

    Fibonacci Calculator

    Sequence results

    Next bet
    —
    Total lost
    —
    Remaining bankroll
    —
    Result if this spin wins
    —
    Wins in a row to finish
    —
    Max. losses covered
    —

    European roulette, even-money bet: 18 chances in 37 of winning and 19 of losing (the zero loses).

    Max. losses covered: the number of losses in a row after which you can still place the next bet without exceeding your bankroll or the table limit.

    Bets and net result

    • Bet per spin
    • Net result
    • Martingale bet (for comparison)
    • Table limit (€500)

    Limits and risks

    • A win only recovers the last two losses: you need several wins to escape a bad run.
    • Bets still end up climbing very high (13, 21, 34, 55… units).
    • Alternating losses and wins can also push the progression up.
    • Table limits and your bankroll eventually stop the sequence.
    • Fibonacci does not remove the casino's mathematical edge (≈ 2.7% on European roulette).

    No betting system guarantees a win: every spin is independent of the previous ones.

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