Plinko
Drop the ball, watch it bounce through the pegs, and see what prize bucket it lands in!
Bucket Distribution
How often each multiplier bucket is hit (session)
How to Play Plinko
Select your bet amount, then click Drop Ball. The ball falls from the top of the board and bounces left or right at each row of pegs. It lands in one of the prize buckets at the bottom, each with a different multiplier. Your winnings = bet × multiplier. Visit the Chance Games hub for all our games.
Start with 100 coins. Try to grow your bankroll by landing on the high-multiplier center buckets. The ball path is determined by random left/right bounces at each peg - The same physics that make real Plinko boards so exciting. For other randomness tools, try our random number generators.
Plinko Probability Explained
With 8 rows of pegs, the ball makes 8 binary (left/right) decisions. The resulting bucket distribution follows a binomial distribution - Similar to flipping our coin 8 times and counting heads. The center buckets (like 10x) are rare but possible; the outer buckets are hit most often.
The expected value of each drop depends on the multiplier distribution. In our game, the average return is slightly below 1x - Giving the "house" a small edge, just like real casino Plinko. Smart bankroll management means betting small and enjoying many drops. Use our group generators for fair prize draws instead!
Fun Facts About Plinko
- Plinko was invented for "The Price Is Right" game show in 1983 by producer Frank Wayne.
- The name "Plinko" comes from the "plink" sound the disc makes hitting each peg.
- The real Plinko board on The Price Is Right is about 11 feet tall with 9 prize slots up to $10,000.
- The physics of Plinko is a perfect demonstration of Pascal's Triangle and the normal distribution.
- Galton boards (identical physics) were invented by Francis Galton in 1889 to demonstrate the central limit theorem.
- Use the stopwatch to time your sessions, or our interval timer for timed rounds.
How Plinko Demonstrates the Binomial Distribution
Every time a Plinko ball hits a peg, it makes a binary random decision: deflect left or deflect right. With 8 rows of pegs, the ball makes 8 such decisions. The number of times it deflects right determines which bucket it lands in. Because each deflection is equally likely to go either direction, the bucket landing distribution follows the binomial distribution with n=8 and p=0.5.
This is the same mathematical structure as flipping a coin 8 times and counting heads. The center buckets correspond to outcomes near 4 out of 8 deflections going right - And there are far more ways to achieve that outcome than to achieve 0 out of 8 or 8 out of 8. The number of paths to each bucket precisely matches Pascal's Triangle, which is why balls cluster toward the center in a bell-curve shape over many drops. This is the same principle behind the Galton Board, a physical device invented by Sir Francis Galton in 1889 to demonstrate the normal distribution using falling beads through a triangular grid of pegs.
Use Cases
Plinko is widely used in statistics and probability education to give students an intuitive, visual demonstration of the binomial distribution and the central limit theorem. Watching the bucket distribution emerge over many drops makes abstract concepts tangible. As a simulation, it is also used to illustrate the principle that individual outcomes are unpredictable even when aggregate patterns are highly predictable. For entertainment, it adds suspense and excitement to prize draws, school carnivals, and online events.
Frequently Asked Questions
Why do Plinko balls land in the center more often?
There are far more paths through the peg grid that lead to the center buckets than to the outer ones. This follows Pascal's Triangle: the number of paths to each bucket corresponds to a binomial coefficient, and the center positions have the largest coefficients. Over many drops, the landing distribution forms a bell curve.
What is a Galton Board?
A Galton Board (also called a bean machine or quincunx) is a physical device invented by Sir Francis Galton in 1889. Balls or beads are dropped through a triangular grid of pegs and collect in bins at the bottom. The resulting pile approximates a normal distribution, making it one of the most intuitive physical demonstrations of probability theory.
Can I predict where a Plinko ball will land?
No individual drop can be predicted. At each peg, the ball randomly deflects left or right with equal probability. While the center slots are collectively more probable over many drops, any single ball is subject to pure chance and can land in any bucket.
What is the binomial distribution?
The binomial distribution describes the number of successes in a fixed number of independent yes/no trials where each trial has the same probability. In Plinko, each row is one trial (left or right), and the bucket position is determined by how many times the ball went right. With 8 rows, the ball's final position follows a binomial distribution with n=8 and p=0.5.