Plinko Probability Calculator

Formula used

P(K=k)=C(n,k)/2ⁿ

What this tool calculates

Free Plinko probability calculator. Select rows and a bucket to see binomial landing odds, path counts and symmetric buckets. Educational model, not a prediction.

Plinko probability distribution: center versus edge

With n independent, equally likely left-or-right decisions, bucket k has probability C(n,k) / 2^n. Buckets are numbered from 0 to n, so an n-row board has n + 1 possible buckets.

For 8 rows, either outermost bucket has probability 1/256 = 0.390625%. The center bucket, k = 4, has 70/256 = 27.34375%. These are bucket probabilities, not the probability of making a net profit.

Model assumptions and RTP

The binomial formula assumes independent 50/50 decisions. It does not establish the distribution of every physical board or third-party Plinko game, and it does not verify a live game's RNG.

RTP requires the full payout table: sum each bucket probability multiplied by that bucket's gross payout multiplier. A risk label or one large multiplier alone is insufficient to calculate RTP.