LearnModule X2 · The player pool

X2-L5

River bets with too few bluffs

Where river bets hold too few bluffs and how to fold more there, judged from your own hands and their sample sizes.

The exploit lab locks one tendency of the opponent on a river Rail solves on demand, keeps the rest of the opponent's strategy at the solve, and computes your best response. A lock is your read of a player, not a fact, and the lab works on the river only; the ranges rest on Rail's narrowing model.

Approximate: the ranges here are hand-written teaching ranges or rest on Rail's narrowing model, not on a solve of the whole hand. The direction is what to take away.

In this lesson

  • Explain why some river lines hold fewer bluffs than the bet size needs.
  • Fold more bluff-catchers where your own data shows few bluffs.
  • Check the sample behind a river read before acting on it.
  • Keep calling where a line still holds enough bluffs.

How many bluffs a bet needs

A river bet must carry enough bluffs that a bluff-catcher breaks even calling it: a third of the bets for a pot-sized bet, a quarter for a half-pot one. When a bettor carries fewer, every bluff-catcher loses by calling. Facing a pot-sized bet, 20 into 20, from a player whose bets are only 20% bluffs: 0.2 × 40 − 0.8 × 20 = −8 bb a call.

20 bb
20 bb
20%
Indifferent at
33.3%
EV of calling
-8 bbFold
A pot-sized bet with too few bluffs. Find the share of bluffs where calling breaks even.

Rail's best response: fold more

Lock a river opponent to bet almost none of his air, and the lab's best response folds far more of its bluff-catchers. Middle and weak pairs fold most often of all, and even top pairs and two pairs fold more than the solve folds them. Its strongest hands keep calling and raising: they beat the value bets too.

The lab with a player who rarely bluffs locked.

Where the evidence is

The opponents panel cannot see a river bluff: it counts bets, and how often a player goes to showdown and wins there, which hints at what he shows down but does not count bluffs. The direct evidence is your own hands where you called a river bet and saw the cards. Those come a few a session, so a read on one player rarely clears its interval; across your whole pool, one line can.

Fold more where the evidence says so, and keep calling where a line still holds enough bluffs: folding everything turns you into the over-folder of lesson X2-L2.

From Rail's exploit lab: the read locked on a river solved on demand, the rest of the opponent's strategy kept at the solve. The ranges rest on Rail's narrowing model.

Rules of thumb

  • A pot-sized bet needs a third bluffs, a half-pot bet a quarter.
  • Against a bettor who rarely bluffs, fold more of your pairs.
  • Judge a river read by what you saw called down, with its sample.

When they break

  • A player who never bluffs one line may bluff another: read each line apart.
  • Fold everything and you invite the bluffs back.

Example hands

Examples come from two places only: your own analysed hands in this lesson's spots, and a hand Rail deals and grades itself. Never a hand from outside Rail.

From your own hands

Sign in, with analysed hands, to see examples from your own play here.

A hand Rail deals

Rail scripts this hand from the lesson's own practice, always the same one, and grades it with the analysis. Decide first, then read Rail's verdict.

Your own pool

Your opponents' tendencies from your own hands, summed over the opponents panel, with how many chances each stat had and the 95% interval that sample allows.

Practice

The lesson is mastered when every exercise below that Rail can grade is passed. Missed items come back later as review cards.

Exercise 1

Pass: 2 of 4 right

Four rivers against an opponent locked to bet almost none of his air: play the best response's hand.

Exercise 2

Pass: 2 of 4 right

Four rivers in position facing a bet, graded by Rail's river solve: the baseline.

Exercise 3

Optional

Your own river decisions facing a bet, and the calls flagged as beating nothing.

Sign in to practise on your own hands.

Module X2 review · The player pool

6 items mixed across this module's lessons: a spot from one lesson, a sum from another. Telling which idea a spot asks for is half of it. Missed items join your review cards; the score is not kept.

River bets with too few bluffs — Learn | Rail