LearnModule X2 · The player pool

X2-L2

Against players who fold too much

How to win more against players who fold too much: bluff with far more hands, turn weak pairs into bluffs, and bet strong hands smaller.

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

  • Spot a player who folds more than the bet size allows, from your own data.
  • Bluff with almost every hand that cannot win at showdown, and with weak pairs too.
  • Bet your strongest hands smaller when the folds come at every size.
  • Name the risk: what you lose if they stop folding.

What a fold is worth

A pure bluff of b into a pot p breaks even when the opponent folds b / (p + b) of the time: a third of the pot needs 25%, half the pot 33.3%, three quarters 42.9%, the pot 50%. Every point above that line is profit. A pot-sized bluff, 10 into 10, against a player who folds 60%: 0.6 × 10 − 0.4 × 10 = 2 bb a time.

10 bb
10 bb
60%
Alpha: folds needed
50%
EV if it never wins when called
+2 bbProfitable
A pot-sized bluff against a 60% folder. Lower the folds to 50% and the profit is gone.

What Rail's best response changes

Lock a river opponent to fold more than the solve to every size, and the lab's best response changes three things at once. It bluffs with almost all of its hands that cannot win at showdown, and with the big sizes. It turns weak pairs and ace-high, which the solve checks, into bluffs too. And it bets its strongest hands smaller: the folds come at every size, so a big bet with the nuts would be folded more as well.

The lab with an over-folder locked. Move the read and run another river.

Where the folds come from, and what it costs

Nobody folds too much everywhere. Your own data says where: the opponents panel counts folds to a flop c-bet, and the pool section below sums them over your opponents. Bluff more where the interval clears the line, not everywhere.

And count the risk. On most rivers the lab tried, the over-bluffing costs less against a player who actually plays the baseline than it gains against the folder; against a player who notices and calls it down, it costs more than it gains on almost every river. The bigger the adjustment, the more it pays to be right.

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 bluff of b into p needs b / (p + b) folds; everything above is profit.
  • Against a folder, bluff with almost every hand that cannot win at showdown.
  • Turn weak pairs and ace-high into bluffs too.
  • Bet your strongest hands smaller: big bets get folded too.

When they break

  • A player who folds too much to small bets may call big ones: check what your data counted.
  • Once he starts calling, go back to the baseline before the bluffs cost you.

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: 5 of 6 right

Six bluffs to price: how often must the opponent fold?

Exercise 2

Pass: 2 of 4 right

Four rivers against an opponent locked to fold more than the solve: play the best response's hand.

Exercise 3

Optional

Your own first river decisions, the costliest first.

Sign in to practise on your own hands.

Against players who fold too much — Learn | Rail