Double after every loss, and one win recovers everything plus a unit. The logic is sound. The arithmetic of what it requires is where it comes apart.
Stake one unit. Lose, stake two. Lose, stake four. The first win returns the entire sequence plus one unit of profit. Since a win must eventually come, the system appears to guarantee it.
| Consecutive losses | Next stake | Total committed |
|---|---|---|
| 5 | 32 | 63 |
| 8 | 256 | 511 |
| 10 | 1 024 | 2 047 |
| 13 | 8 192 | 16 383 |
Thirteen consecutive losing drops is not a remarkable event in Plinko. On high risk, where most outcomes return a fraction of the stake, it is a normal part of an evening.
Two walls arrive before the win does. The balance runs out, or the maximum stake is reached. At that point the accumulated losses are realised in full, and they are large precisely because the system was working until then.
Martingale assumes a binary outcome — win or lose. Plinko returns fractions: 0.2×, 0.5×, 1.5×. There is no clean "loss" to double against, so every version of the system in Plinko requires an arbitrary rule about what counts as a loss, and the arithmetic degrades further.