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D'Alembert Progression Calculator

D'Alembert increases your bet by just 1 unit per loss: linear growth, not exponential. See why it survives far longer than Martingale, and how many steps you get before limits.

Presets:

Configuration

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EV per $1 bet: -0.0100 (-1.00%)
Negative Progression
Increase bet by 1 unit after each loss. Linear, not exponential. The gentlest negative progression.

D'Alembert Progression

Max Steps Before Limit30
Total Capital at Risk$4,650.00
Profit per Cycle$10.00
P(Full Streak Bust)1.26e-7%
Risk : Reward465:1
Wins to Recover 1 Bust465
Consecutive Loss Escalation
StepBetTotal LossNet If WinP(Here)Status
1$10.00$10.00$10.00100.00%OK
2$20.00$30.00$10.0050.50%OK
3$30.00$60.00$0.0025.50%OK
4$40.00$100.00-$20.0012.88%OK
5$50.00$150.00-$50.006.50%OK
6$60.00$210.00-$90.003.28%OK
7$70.00$280.00-$140.001.66%OK
8$80.00$360.00-$200.000.8376%OK
9$90.00$450.00-$270.000.4230%OK
10$100.00$550.00-$350.000.2136%OK
11$110.00$660.00-$440.000.1079%OK
12$120.00$780.00-$540.000.0545%OK
13$130.00$910.00-$650.000.0275%OK
14$140.00$1,050.00-$770.000.0139%OK
15$150.00$1,200.00-$900.007.02e-3%OK
16$160.00$1,360.00-$1,040.003.54e-3%OK
17$170.00$1,530.00-$1,190.001.79e-3%OK
18$180.00$1,710.00-$1,350.009.04e-4%OK
19$190.00$1,900.00-$1,520.004.56e-4%OK
20$200.00$2,100.00-$1,700.002.30e-4%OK
21$210.00$2,310.00-$1,890.001.16e-4%OK
22$220.00$2,530.00-$2,090.005.88e-5%OK
23$230.00$2,760.00-$2,300.002.97e-5%OK
24$240.00$3,000.00-$2,520.001.50e-5%OK
25$250.00$3,250.00-$2,750.007.57e-6%OK
26$260.00$3,510.00-$2,990.003.82e-6%OK
27$270.00$3,780.00-$3,240.001.93e-6%OK
28$280.00$4,060.00-$3,500.009.75e-7%OK
29$290.00$4,350.00-$3,770.004.92e-7%OK
30$300.00$4,650.00-$4,050.002.49e-7%OK
Rakeback on Streak Cost: A full 30-step losing streak costs $4,650.00. At 3.5% rakeback on your configured game's 1.00% edge you recover $1.63, reducing net cost to $4,648.37. Applies on Stake only.

Strategy Guide

Negative Progressions

Martingale doubles after each loss (exponential escalation). Fibonacci follows the sequence (1,1,2,3,5,8...), a slower climb. D'Alembert adds 1 unit per loss, the gentlest. Labouchere uses a cancellation sequence with moderate escalation.

Positive Progressions

Paroli doubles after wins (max 3), capitalizing on streaks with only 1-unit risk. 1-3-2-6 uses a fixed 4-step sequence: losing at step 3+ still profits or breaks even.

The Truth About All Strategies

No betting strategy changes the expected value. The house edge applies to every bet regardless of pattern. Strategies only reshape the distribution of outcomes — more frequent small wins vs. rare catastrophic losses, or vice versa.