Plinko simulator with real payout tables for low, medium and high risk across 8 to 16 rows. Watch the binomial distribution build itself.
A ball passing through n rows makes n independent left-or-right decisions, so where it lands follows a binomial distribution. The centre buckets are overwhelmingly likely and pay under 1x; the edge buckets are rare and carry the headline multipliers.
Risk level does not change the physics — it changes the payout table applied to the same distribution, moving return from the middle to the edges.
On 16 rows the outermost bucket has a probability of roughly 1 in 65,000. High-risk mode pays for that with sub-1x multipliers across the entire centre, so most drops return less than the stake and the mode looks like it is malfunctioning. It is working exactly as designed.
Run a few thousand drops in the simulator and the bell curve builds itself in front of you, which is the clearest explanation of the game anyone can give.
The ball’s path is a sequence of independent left-right steps, so where it lands follows a binomial distribution: overwhelmingly concentrated in the middle. The payout table simply inverts that — the buckets you hit most often pay under 1x, and the edges that pay hundreds are reached a fraction of a percent of the time.
Raising the risk level does not raise the return. It moves payout weight from the centre to the edges, so the same expected value arrives in rarer, larger pieces.
No. Every ball starts at the centre and each row is an independent coin flip.
They have the same expected value. Low risk returns it steadily, high risk concentrates it in outcomes you will rarely hit.