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Part 3 · Lesson 15 of 25 · Pro

Full-street games: when the opponent can bet too

Check 10 hands and let only 3 of them call a pot-sized bet, and every bluff against you earns 0.4 pots. Keep 5 that call, and his bluffs earn nothing. When the second player may also bet after a check, checking becomes a decision with its own range.

The hand

River. You check, and the Loose-aggressive player bets the pot with any hand that cannot win a showdown. Of the 10 hands you check here, 3 can call.

Predict first

What does each of his pot-sized bluffs earn?

  1. Nothing: he risks the pot to win the pot
  2. 0.4 pots
  3. 1 pot

Formula

Opponent's bluff EV (in pots) = (1 − h) × 1 − h × s, where h is the share of your checks that continue

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 15 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.