Casino Math Guides

In-depth guides on the mathematics and probability behind casino games — for players who want to understand the numbers.

Blackjack

Blackjack Basic Strategy Explained

The mathematically optimal decision for every possible hand. Hard hands, soft hands, pair splitting, and the logic behind every play. How rules affect house edge, and how to memorize the strategy.

~10 min readComplete chartsRule variations
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How to Count Cards in Blackjack

The Hi-Lo system explained step by step. Running count vs true count, bet spreading strategy, bankroll requirements, realistic hourly expectations, and a comparison of counting systems.

~11 min readHi-Lo systemBet sizing
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Poker

Texas Hold’em Poker Odds Guide

Pre-flop hand rankings and equity, common matchups, counting outs, the Rule of 2 and 4, pot odds calculation with worked examples, and implied odds for drawing hands.

~10 min readOdds chartsPot odds
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Fundamentals

Understanding House Edge

What house edge means, how it's calculated, house edge for every major casino game compared, the recycling effect (why you lose more than the edge), and why betting systems can't beat the math.

~9 min readEvery game comparedMath explained
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