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FairnessNVR-003RTP 99.00%

Plinko

How a Plinko result is derived, step by step. Every step is public and can be reproduced from the seeds.

01

Derivation

  1. 01

    For row i = 0 … rows − 1: direction = float(i) < 0.5 ? left : right.

  2. 02

    bucket = number of rights. P(bucket = k) = C(rows, k) / 2^rows.

  3. 03

    payout = stake × table[rows][risk][bucket]. The animation follows this exact path; it does not decide it.

float(k) and the rest of the notation are defined in the byte stream.

Run these steps on a bet of your own, in your browser.

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02

Rules that fix the payout

Choose 8, 12 or 16 rows and a risk level. The ball deflects left or right at each row with equal probability and lands in one of rows + 1 buckets.

Each bucket has a fixed multiplier. Low risk keeps the centre near 1×; high risk empties the centre and loads the edges.

All nine paytables return exactly 99.00% against the binomial distribution.

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