The Mathematics of Card Counting
Card counting is a system of tracking the ratio of high cards to low cards remaining in the deck. It shifts the standard house edge (-0.5%) into a player advantage (up to +2.5%+) by adjusting bet sizes when the deck is rich in high cards.
The Hi-Lo System
Card Counter Sandbox
Click cards below to "deal" them from the shoe and observe how the running count and deck penetration combine to calculate the exact True Count.
Deal Card to Felt:
Dealt Cards History:
Strategy & Deviations Matrix
Drag the **True Count Slider** below. When deviations are active, observe how the strategy table cells dynamically transition, flash, and shift their optimal mathematical play.
Active Deviations at Current True Count:
Risk Sizing & Ruin Math
Determine your risk parameters. As True Count rises, player edge becomes highly positive, enabling aggressive bet spreads. Sizing bankrolls to variance is critical.
Risk of Ruin Equation:
Your calculated Risk of Ruin is 0.01%. This represents the probability of completely depleting your $10,000 bankroll before achieving long-run expected value.
High-Speed Monte Carlo Simulator
Run thousands of parallel blackjack games using your custom bankroll, base unit, spread, and strategy profile in a background worker thread. View real-time trajectories and statistics.