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Fibonacci

Follow the Fibonacci sequence for bet sizing. Move forward on a loss, back two steps on a win.

Overview

The Fibonacci betting system uses nature's most famous number sequence as a staking plan for even-money bets. After each loss you advance one step forward in the sequence; after each win you move back two steps. When you reach the start again, you've cleared a profit. Sequence: 1 · 1 · 2 · 3 · 5 · 8 · 13 · 21 · 34 · 55 · 89 … Bets grow at roughly ×1.618 per step (the golden ratio), compared to ×2 for the Martingale. This means you survive longer losing streaks with the same bankroll — but recovery from a deep position requires multiple consecutive wins.

How It Works

1

Set your unit size

Your unit maps to '1' in the sequence. A 10-chip unit turns the sequence into 10, 10, 20, 30, 50, 80, 130… Keep your unit at 1–2% of your session bankroll.

2

Start at position 1 (one unit)

Place one unit on any even-money bet — Red, Black, Odd, Even, Low, or High. Stay consistent with your chosen outcome.

3

Lose → advance one step

Move to the next number in the sequence for your next bet. If you were at position 5 (50 chips), your next bet is position 6 (80 chips).

4

Win → move back two steps

After a win, go back two positions. If you're at position 6 and win, your next bet is position 4. If you're at position 1 or 2, a win returns you to position 1.

5

Profit when you return to start

Each time you complete the walk back to position 1, you've netted a small profit. Lock it in and decide whether to begin a new sequence.

The Bets

Standard Bet Placement

03691215182124273033362581114172023262932351471013161922252831342:12:12:11-1213-2425-361–18EvenRedBlackOdd19–36

Highlighted zones = covered by this strategy

Red1:1
Stake10 chips
Coverage48.6%

Example Sequence

Example Sequence (unit = 10 chips)

Unit size: 10 chips

10
L
Pos 1→ pos 2
10
L
Pos 2→ pos 3
20
L
Pos 3→ pos 4
30
W
Pos 4← pos 2
10
W
Pos 2← pos 1
10
?
Pos 1Reset — net 0
Total wagered: 90 chips
Net: +0 chips

The Math

The Math

Fibonacci sequence (unit = U): Positions: U, U, 2U, 3U, 5U, 8U, 13U, 21U… Each term = sum of the two before it. Growth per step ≈ ×1.618 (golden ratio) Compared to Martingale after 6 losses: Martingale bet = 64U Fibonacci bet = 13U (position 7) Recovery: Unlike Martingale, a single win does not erase all prior losses. You must win your way back through two positions at a time.

Bankroll Guide

Recommended Bankroll

800 chips

Unit Size

10 chips

Stop-Loss

300 chips

Take-Profit

200 chips

After 8 consecutive losses you're at position 9 (34 units = 340 chips). An 800-chip bankroll can absorb this and still have room. Be aware that at deeper positions, two consecutive wins are needed per step back — variance runs high.

When to Walk Away

Stop if you reach position 8 or beyond — the required bets become large relative to typical bankrolls.

Stop when losses exceed 40% of your starting chips.

Lock in profit whenever you return to position 1 after a winning run.

The Fibonacci system does not change the house edge. Like all progressive systems, it defers losses rather than eliminating them. Deep sequences can be psychologically difficult to exit — set your limits before you play.