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HomeCasino CalculatorsPlinko Calculator

Plinko Calculator

Slot probabilities and RTP

A Plinko ball bounces left or right at every peg, so the slot it lands in follows a binomial distribution. The centre slots are hit thousands of times more often than the edges, which is why the outer multipliers can be so large.

Choose the number of rows and how aggressive the paytable should be to see the probability of each slot, its contribution to the RTP and the odds of ever reaching the top multiplier.

Boards typically run 8 to 16 rows.

Higher risk strips the centre to fund the edges.

%

Top multiplier

28.3449x

Outermost slot on either side

Chance of top slot

0.00305%

1 in 32,768

Centre multiplier

0.0000x

Lands 19.64% of the time

Return to player

99.00%

Sum of every slot's contribution

SlotMultiplierProbabilityOddsRTP share
128.3449x0.00153%1 in 65,5360.043%
220.0307x0.024%1 in 4,0960.489%
313.4163x0.183%1 in 546.12.46%
48.3515x0.854%1 in 117.07.14%
54.6752x2.78%1 in 36.012.98%
62.2129x6.67%1 in 15.014.75%
70.7711x12.22%1 in 8.29.42%
80.1272x17.46%1 in 5.72.22%
90.0000x19.64%1 in 5.10%
100.1272x17.46%1 in 5.72.22%
110.7711x12.22%1 in 8.29.42%
122.2129x6.67%1 in 15.014.75%
134.6752x2.78%1 in 36.012.98%
148.3515x0.854%1 in 117.07.14%
1513.4163x0.183%1 in 546.12.46%
1620.0307x0.024%1 in 4,0960.489%
1728.3449x0.00153%1 in 65,5360.043%

Slot probabilities are exact (binomial). The paytable is reconstructed to hold the house edge you enter — a live casino's published table will differ slightly in shape but not in RTP.

How to read the results

  • Probability per slot comes from the binomial distribution: C(rows, k) / 2^rows.
  • Risk level controls the spread — high risk strips the centre to fund the outer slots.
  • Contribution shows how much each slot adds to the return to player; the centre slots dominate it.
  • The full table always sums to 1 minus the house edge, no matter the risk level.

Frequently asked questions

What are the odds of hitting the highest Plinko multiplier?

On a 16-row board the outermost slot needs all 16 bounces to go the same way: 1 in 65,536, or 0.0015%. That is why high-risk boards advertise multipliers of 1,000x and higher.

Does more rows mean better odds?

No — the house edge is identical across row counts. More rows widen the distribution, making the centre less rewarding and the edges more extreme.

What is the RTP of Plinko?

Usually 99% on crypto casinos, meaning a 1% house edge across the whole paytable, regardless of the risk level or number of rows you pick.

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These tools are informational. They describe the mathematics of casino games; they do not predict outcomes and no calculator can overcome a house edge. Gambling involves real financial risk — 18+ only, and seek help if it stops being entertainment.

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