Pot odds compare cost and reward
For a call, divide the amount to call by the pot after that call. The result is the break-even share of the final pot before other future action.
← Back to the GalaxyTHE MATHEMATICS OF POKER
Probability Nebula
Make the numbers understandable: pot odds, outs, equity, expected value, combinatorics, ranges, and variance.
START EXPLORING
Ideas worth studying.
These short lessons introduce the concepts. They are a starting point for reviewing past play, not instructions for a live hand.
Equity is a share, not a promise
Equity describes how often a hand would win or tie against an assumed range across possible runouts. It does not predict the next card.
Ranges matter more than one guess
A range represents several plausible hands. Combinatorics counts how many card combinations make each hand, helping weight a range more carefully.
THE COSMIC CODEX
Words worth knowing.
Open a quick definition, then follow through to its full entry.
Pot OddsPot OddsThe price of a call compared with the pot you can win.Open full definition ↗EquityEquityA hand's share of the pot on average if remaining cards are dealt and no further decisions alter the contest.Open full definition ↗Expected ValueExpected ValueThe average result of a decision across repeated comparable situations.Open full definition ↗Fold EquityFold EquityThe value gained when a bet or raise causes opponents to fold.Open full definition ↗
Browse all poker terms ↗SIGNATURE PRACTICE SPACE
Pot-odds calculator.
Use this example for learning away from a live table. No poker-room connection, automated play, or real-time recommendation is involved.
STUDY CALCULATOR
Pot odds and clean outs.
Enter the pot before an opponent bets, the amount you must call, and an estimated number of clean outs. This is a simplified learning model.
BREAK-EVEN POT SHARE20.0%
SIMPLIFIED DRAW CHANCE35.0%
Pot share = call ÷ (pot + opponent bet + call). Draw chance assumes every out is clean and ignores opponent ranges, ties, future betting, and card removal. It is not full hand equity or a live decision aid.
STUDY MATERIAL
Explore other destinations ↗Probability Nebula guides
1 PDF guide for studying this destination away from the table.
The Flawless Poker Odds Bible
Hand odds, equity examples, outs, pot odds, and variance reference.