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Part 3 · Lesson 19 of 25 · Pro

A case study: game theory at the table

A real river: the Loose-aggressive player bets 40 bb into 60 bb, and you hold top pair. Against him the call earns about +7 bb; against a Nit making the same bet, it loses 12 bb. Real hands combine everything: ranges narrowed by actions, prices from bet sizes, equity against those ranges, and an opponent who may be exploitable.

The hand

River. You hold K♥ J♥, top pair. The Loose-aggressive player bets 40 bb into 60 bb, so the pot with his bet is 100 bb and you must call 40 bb. He bets like this with AK and KQ for value, and with T8 and 86 suited, missed straight draws, as bluffs.

Predict first

Call or fold?

  1. Call
  2. Fold: he has more value hands than bluffs
  3. Raise

Formula

Price → range → equity → compare → adjust

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 21 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.