Binomial Ball Drop (Plinko-Style Simulation Game)

A browser-based Plinko simulation game built with HTML5 Canvas and JavaScript. The project models the physics of falling balls through pegs and into sinks (slots), and uses simulation to reverse-engineer which x positions lead to which sinks using a binomial-probabilty distribution.

Features

• probability-driven sinks
• Physics-based ball bounces and collisions
• Simulation to discover which x positions land in which sinks

plinko-game/
├── index.html           # Main HTML file
├── styles.css           # All CSS styles
├── utils.js             # Common utility functions (e.g., pad, unpad)
├── ball.js              # Ball class with physics and drawing logic
├── game.js              # Main game setup, rendering, and game loop
├── simulation.js        # Logic for simulating ball drops and saving outcomes
├── sink_generator.js    # Logic to choose which sink to target (uses binomial distribution)
├── outcomes.js          # Auto-generated file with pre-simulated x-positions

How Simulation Works

• simulation.js drops balls from random x values.
• Each ball tracks which sink it falls into.
• At the end, outcomes.js is generated containing sinkData[], mapping sink index to a list of working x values

Usage

• Click "Add Ball" to drop a ball into a sink.
• The sink is chosen via getTargetSinkIndex() in sink_generator.js.
• The game selects an appropriate x from sinkData to make it land in the generated sink.