Poker mathematics

A concise reference for the mathematics behind the decisions.

Pot odds: price a call correctly ↗

Convert a call price into break-even equity, with clear pot definitions and worked examples.

Expected value is a decision rule, not a prediction ↗

Understand poker expected value, sunk costs, bluffing and why a good decision can lose.

Card probability without replacement ↗

Calculate outs exactly using complementary events, conditional probabilities and small sample spaces.

Bayesian inference at the poker table ↗

Update a prior range from observed betting behaviour using Bayes’ rule and base rates.

More decision notes →