Casino
Plinko Probability Calculator
Explore a symmetric independent left/right Plinko model, slot probabilities and expected return from an entered payout multiplier for every slot.
Your result
65.625%
RTP for the entered paytable
- Expected net
- −$3.44
- Modeled house edge
- 34.375%
- Slot 0: 5 gross multiplier
- 0.390625%
- Slot 1: 2 gross multiplier
- 3.125%
- Slot 2: 1 gross multiplier
- 10.9375%
- Slot 3: 0.5 gross multiplier
- 21.875%
- Slot 4: 0.2 gross multiplier
- 27.34375%
- Slot 5: 0.5 gross multiplier
- 21.875%
- Slot 6: 1 gross multiplier
- 10.9375%
- Slot 7: 2 gross multiplier
- 3.125%
- Slot 8: 5 gross multiplier
- 0.390625%
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Symmetric independent steps; illustrative paytable, not a model inferred for a named operator.
Plinko math and binomial slot probability
For n independent fair left/right steps, final slot k has probability C(n,k)/2ⁿ. With eight rows there are nine slots; the center slot has 70/256 probability, about 27.34375%. Each edge has one path out of 256, about 0.390625%.
Enter n+1 gross-return multipliers in left-to-right order. Expected multiplier is the sum of each slot probability times its multiplier; RTP is that expectation and house edge is one minus it. The example paytable is invented for arithmetic and is not an operator’s current paytable.
What a Plinko strategy can and cannot change
In this symmetric model, previous results and a staking progression do not change the next path probabilities. Changing row count or paytable changes the calculation, while changing the stake scales currency outcomes. There is no guaranteed winning strategy in a negative-expectation independent model.
A real game may use a different random process or mapping. Do not apply these probabilities to a branded product without its rule specification. Use expected value to interpret a supplied outcome model.