Plinko Odds Calculator
18+ only. Contains affiliate links — we may earn a commission. Not for residents of the US, UK, France, Germany, Netherlands, Spain, Austria, Australia, Ontario or Vietnam. Not legal or financial advice.
Model a ball taking an independent, equally likely left or right turn at every row. Choose 8–16 rows, load an illustrative risk profile and edit every total-return multiplier. Risk labels select example payouts; they do not change slot probabilities.
Example inputs: replace with your own figures
Edit the JSON array: one number from 0 to 1,000,000 per slot, left to right, including zeros. Payouts include the stake. Loading a profile replaces your edits; changing rows requires rows + 1 values. Risk only selects examples.
Result
| RTP | 99.00000002% |
|---|---|
| EV per unit bet (net) | -0.01 |
| Slot (left = 0) | Probability | User multiplier (gross) |
|---|---|---|
| 0 | 0.00152588% | 11.59714286× |
| 1 | 0.02441406% | 8.94535714× |
| 2 | 0.18310547% | 6.64714286× |
| 3 | 0.85449219% | 4.7025× |
| 4 | 2.77709961% | 3.11142857× |
| 5 | 6.66503906% | 1.87392857× |
| 6 | 12.21923828% | 0.99× |
| 7 | 17.45605469% | 0.45964286× |
| 8 | 19.63806152% | 0.28285714× |
| 9 | 17.45605469% | 0.45964286× |
| 10 | 12.21923828% | 0.99× |
| 11 | 6.66503906% | 1.87392857× |
| 12 | 2.77709961% | 3.11142857× |
| 13 | 0.85449219% | 4.7025× |
| 14 | 0.18310547% | 6.64714286× |
| 15 | 0.02441406% | 8.94535714× |
| 16 | 0.00152588% | 11.59714286× |
18+ · Educational tool. All calculations run in your browser. Examples are not casino rates.
Example/assumed multipliers, not any casino’s real figures. Edit the JSON array from left to right: exactly rows + 1 nonnegative numeric multipliers. No casino RTP is implied.
How it is calculated
- For n rows and slot k, counted from 0 on the left to n on the right, P(k) = C(n, k) / 2^n. There are n + 1 slots; probabilities add to 1.
- RTP = Σ P(k) × m(k), with multipliers that include the original stake. EV per unit bet = RTP − 1. A 0× slot loses the whole stake, while 1× returns it.
- At 16 rows the centre slot is C(16, 8)/65536 = 0.196380615234375, about 19.6381%. Each extreme slot has probability 1/65536. A likely centre outcome can still return less than the stake.
- The low, medium and high profiles are invented payout spreads scaled to an assumed 99% RTP before rounding, not casino tables. Your edits determine the calculated RTP. Loading a profile replaces your edits. The model assumes unbiased independent turns.
18+ · No formula removes the house edge. Do not chase losses; set limits and only use money you can afford to lose. Help and limits.
Related reading
- Plinko slot odds explained
- Mines: sampling without replacement
- Dice and house edge
- Audit a complete payout table
Frequently asked questions
Are these a casino’s real multipliers?
No. All presets are example/assumed multipliers, not any casino’s real figures. Replace them with a complete table you want to examine.
Does high risk change where the ball lands?
Not in this model. Rows determine probabilities; the risk preset changes only example multipliers. Actual game rules may use a different mapping.
Can I calculate RTP from the biggest multiplier alone?
No. Every slot payout is needed, including low and zero returns. A rare extreme payout does not establish the overall expected return.
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