About Outs

14 short lessons in four parts, 12 animated explainers of the maths, 8 timed drills, 5 famous hands replayed decision by decision, 2 games against bots that play solved strategies, and a glossary of 85 terms. How to learn shows the route through it.

A course about maths should get the maths right. Every number on the site is held to these rules:

• Computed, not typed. Where a number follows from the cards and the bets, the page works it out. Equities come from evaluating every remaining board, not from estimates.
• Checked independently. The hand evaluator is compared with a second, separately written evaluator on tens of thousands of random hands, and they never disagree.
• Solved where it can be. The Kuhn poker bot plays the game’s exact equilibrium. The push-or-fold chart comes from exact all-in equities over all 1,712,304 possible boards for every pair of hands.
• Tested on every change. An automated test suite recomputes the numbers the lessons and explainers state, so a figure and its sentence can’t drift apart.
• Sourced when it’s history. The famous hands come from published hand histories, checked against each other. Where sources disagree, the page says so; amounts nobody recorded aren’t shown.
• Labelled when simplified. The play-or-fold drill uses a teaching chart, not solver output, and says so.

The explainers list their sources: papers that solved poker, from Kuhn (1950) and Nash to Libratus and Pluribus, and these books:

• The Theory of Poker, David Sklansky (1987)
• The Mathematics of Poker, Bill Chen, Jerrod Ankenman (2006)
• Thinking in Bets, Annie Duke (2018)
• Applications of No-Limit Hold’em, Matthew Janda (2013)
• Modern Poker Theory, Michael Acevedo (2019)
• Theory of Games and Economic Behavior, John von Neumann, Oskar Morgenstern (1944)
• The Poker Face of Wall Street, Aaron Brown (2006)

Start with pot odds if you want the maths first.

Made by Chirag ↗.

Outs teaches poker; it never takes bets. If you play for money, read responsible play.