PLINKO CALCULATOR
Work out the exact probability of the ball landing in any Plinko bucket, for boards from 8 to 16 rows. Pure binomial odds — C(N,k) / 2N — not operator payout multipliers.
Each row the ball falls, it goes left or right with a 50/50 chance. After N rows it lands in bucket k (0 = far left, N = far right) with probability C(N,k) / 2N — the binomial distribution. These are landing odds only. The cash multiplier printed on each bucket is set by the operator and your chosen risk level (Low / Medium / High), so it is not shown here.
FULL BUCKET PROBABILITY TABLE (updates with your row count)
| Bucket (k) | Ways | Probability | Approx. Odds |
|---|---|---|---|
| 0 | 1/65536 | 0.0015% | 1 in 65,536 |
| 1 | 16/65536 | 0.0244% | 1 in 4,096 |
| 2 | 120/65536 | 0.1831% | 1 in 546 |
| 3 | 560/65536 | 0.8545% | 1 in 117 |
| 4 | 1820/65536 | 2.7771% | 1 in 36 |
| 5 | 4368/65536 | 6.6650% | 1 in 15 |
| 6 | 8008/65536 | 12.2192% | 1 in 8 |
| 7 | 11440/65536 | 17.4561% | 1 in 6 |
| 8 | 12870/65536 | 19.6381% | 1 in 5 |
| 9 | 11440/65536 | 17.4561% | 1 in 6 |
| 10 | 8008/65536 | 12.2192% | 1 in 8 |
| 11 | 4368/65536 | 6.6650% | 1 in 15 |
| 12 | 1820/65536 | 2.7771% | 1 in 36 |
| 13 | 560/65536 | 0.8545% | 1 in 117 |
| 14 | 120/65536 | 0.1831% | 1 in 546 |
| 15 | 16/65536 | 0.0244% | 1 in 4,096 |
| 16 | 1/65536 | 0.0015% | 1 in 65,536 |
Default shown for 16 rows. Change the row count above to recalculate. The centre bucket is highlighted.
HOW PLINKO ODDS WORK
Plinko drops a ball through a triangular peg board. At every one of the N rows the ball bounces left or right with an equal 50% chance, and those bounces are independent. The bucket it finally lands in is simply the number of times it went right, from 0 (always left) to N (always right).
Counting the paths gives the binomial formula: bucket k is reached by C(N,k) of the 2N equally-likely paths, so its probability is C(N,k) / 2N. On a 16-row board the centre bucket 8 is reached about 19.64% of the time, while each outer edge bucket (0 or 16) has just a 1 in 65,536 chance — about 0.0015%. On an 8-row board the centre bucket 4 comes up 27.34% of the time and each edge 0.39%.
Because every drop is independent, no sequence of past results makes an edge bucket "due", and the landing odds above never change. Payout multipliers are a separate, operator-set layer — verify a real round with the Plinko provably fair verifier.
Related Resources
Bankroll tools: Kelly Criterion Calculator · Rakeback Calculator
Verify a real round: Plinko Provably Fair Verifier · Play: Stake Plinko
More odds calculators: Keno Calculator · Roulette Calculator · Mines Calculator
Also: Dice Calculator · Limbo Calculator · All-Games Verifier