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Bet Sizing

Lesson 13 · Small vs big bets and MDF · 32 practice questions

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Small bets & MDF

A bet's size sets two numbers at once: the equity you need to call, bet/(pot + 2 × bet), and the share of your range that has to continue so that villain cannot profit by betting any two cards — the minimum defense frequency, MDF = pot/(pot + bet). Small bets make both numbers generous. Against a one-third-pot bet you need only 20% equity and MDF asks you to continue with 75% of your range; against a quarter-pot bet it is 17% and 80%. That is why small bets are met with wide calls: second pair, third pair at a good price, every real draw.

Example. On the river Q♠J♦4♣2♥A♥ villain bets 13 into 40 and you hold Q♣T♦, second pair. You need 13/(40+13+13) = 20% and MDF is 40/53 = 75%. Second pair sits comfortably inside the top three quarters of a range that reached this river, and it beats every missed draw: call. With 9♥8♣ on K♣9♦5♠3♥2♣ against 10 into 40 the numbers are 17% and 80% — call again.

Common mistake: folding 'because I only have second pair'. Against a small bet the question is not how strong the hand looks but whether it sits in the top three quarters of your range — and second pair almost always does.

Polarized big bets

Big bets — pot-sized and above — are polarized: villain is representing very strong hands or bluffs and little in between, because medium hands prefer a smaller size or a check. Against a polarized bet your medium hands are all the same thing: bluff-catchers. They beat every bluff and lose to every value hand, so their kicker barely matters. What matters is how many of them you continue with, and which ones. MDF gives the quantity: against a pot-sized bet half your range continues, against a 1.5x-pot overbet only 40%. Blockers give the selection: keep the bluff-catchers that hold cards from villain's value hands, fold the ones that block his bluffs or block nothing.

Example. Turn K♦8♠3♣2♥, villain bets 12 into 12 and you hold K♥Q♣. You need 12/(12+12+12) = 33% and half your range must continue; top pair with a good kicker is near the top of it: call. River A♠8♦6♣3♥2♠, villain bets 45 into 30 and you hold A♥9♣. Now you need 38% and only 40% of your range continues. A weak ace is close to that border — folding is the standard line and calling is defensible. Third pair, as with 8♥7♦ on A♥K♦8♠5♣2♥ against 36 into 24, is a clear fold.

Common mistake: treating 'it is a big bet' as a reason to fold everything short of two pair. Do that and any opponent can bet pot with any two cards.

Sizing tells a story

When you are the one betting, the size should fit what your range looks like on this board. With an advantage spread across many hands — top pairs, overpairs, some draws — bet small with most of it: a small size gets called by worse, denies equity cheaply, and does not need a polarized range behind it. When your range is a few very strong hands plus bluffs and villain's range is capped, bet big: a big size wins the most from the hands that cannot fold and gives your bluffs real fold equity. And when your hand is medium and you are out of position in a growing pot, the size that fits is often no bet at all.

Example. On K♦8♠4♣ with K♥J♥ in position (pot 6, checked to you), bet small: worse kings and pocket pairs keep calling a third of the pot. On the turn J♥8♥4♣2♦ with Q♣Q♦ (pot 16) the board is full of draws that must pay — bet bigger, about two-thirds of the pot. On K♠9♦5♣7♥ with K♣6♣ out of position in a pot of 20, check: a bet folds out everything you beat and is called only by better kings, two pair and strong draws.

Common mistake: picking the size from the strength of your own hand — big with the nuts, small with a bluff. The size has to be the one your whole range would use here, or it tells villain exactly what you hold.

Key takeaways

• Facing one-third pot or less (need 20% or less, MDF 75% or more) → continue with any pair that beats a bluff and every real draw; fold only pure air.
• Facing about two-thirds pot (need 29%, MDF 60%) → top pair and better continue; sets and two pair raise on wet boards.
• Facing a pot-sized bet (need 33%, MDF 50%) → the top half of your range: good top pair calls, third pair folds.
• Facing a 1.5x overbet (need 38%, MDF 40%) → strong hands and the best-blocking bluff-catchers only.
• Betting yourself → small with a wide value range, big with a polarized one, check with medium hands out of position.

Sample drill from this lesson

Best action?

Board: Q♠ J♦ 4♣ 2♥ A♥
Your hand: Q♣ 10♦

Best action: Call

Why: ✓ You hold one pair as a bluff-catcher. A small bet like this one is usually merged, not polarized — villain shows up with medium-strength hands too, not only nuts or air. MDF = 1−13/53 = 75% still says most of your pairs continue, and you only need ~20% to call. Calling is right.

FAQ

How does bet sizing affect MDF?

Bigger bets lower the defender’s MDF and demand more equity to call, but they also require more bluffs to stay balanced. Small bets let you bet a wider range at high frequency.

When should you use a small bet vs a big bet?

Use small bets to deny equity cheaply and bet a wide range on boards you own; use big bets and overbets with a polarized range when you hold a nut advantage.

Key terms in this lesson

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