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Part 5 · Lesson 24 of 25 · Pro

Three's a crowd: multiplayer pots

Course by Hernan Alejandro Gajardo Morales

Aces win 85% of the time against one opponent and only 49% against five who all stay to the showdown. With more players in the pot, every hand's equity falls and the strength needed to win rises.

The hand

You raise with A♠ A♥ and five players call: the Calling station, the Loose-aggressive player, the Maniac, the Tight-aggressive player and the Rock. Everyone will stay to the showdown.

Predict first

Against five opponents who all see the showdown, how often do aces win?

  1. About 85%
  2. About two thirds
  3. About half

Formula

Fair share with n players = 1 ÷ n; strong hands earn more than their fair share, weak ones less

This lesson is part of Pro. Above are its opening, its question and the idea it leads to; the worked numbers, the common mistake, the interactive tool and the check are in the app.

The app adds an interactive tool for this lesson, a hand replay, narration and practice questions with new numbers every time.

Open this lesson in the app

This lesson builds on ideas from chapter 29 of The Mathematics of Poker by Bill Chen and Jerrod Ankenman (ConJelCo, 2006), explained in our own words; nothing is copied from the book. Poker Math Coach is not affiliated with or endorsed by the authors or publisher.