Realising equity, and implied odds

On this page

• Explain how position, suits and connectedness change the equity a hand actually realises.
• Tell implied odds from reverse implied odds.
• Judge when deep stacks and a well-hidden hand make a call worth it.
• Choose big blind defends against a button open by playability, not by raw equity.

Concepts used: Equity and equity realisation, Position, SPR and commitment

Equity assumes a free ride

Raw equity assumes every card gets dealt with no more betting. Real hands do not get that. Bets come on later streets, and some of them push you off a hand that would have won, or make you pay to see the cards you need.

Equity realisation is the share of your raw equity that you actually turn into pot share once the betting is played out. A hand with 40% equity that realises 80% of it behaves, in money, like a hand with 0.4 × 0.8 = 32%.

What helps a hand realise

The same raw equity can be worth very different amounts, depending on how easy the hand is to play:

• Position: acting last, you see what your opponent does first and can take free cards or bet when he shows weakness.
• Playability: suited and connected hands make strong hands that are easy to continue with; offsuit hands with a weak kicker mostly make one pair that is often second best.
• Initiative: the player who bet last can often win the pot with a bet when nobody has much.
• Stack depth: deeper stacks mean more bets to face, which hurts hands that cannot stand pressure.

The big blind against the button

The button opens to 2.5 bb and the small blind folds. The pot holds 2.5 + 0.5 + 1 = 4 bb, and the big blind calls 1.5 bb more: it needs 1.5 / 5.5, about 27.3%. That is a great price, so the big blind defends wide.

But it plays the rest of the hand out of position, so it realises less than its raw equity. Hands that clear the price comfortably and play well defend; hands that clear it only on paper, mostly offsuit and easily dominated, do not.

The realisation factors in this lesson are illustrations, not solved numbers. Rail's preflop charts already include realisation; the big blind's defence drills in the course show where that puts the borderline hands.

Implied odds: being paid later

Sometimes a call below the price is still right, because you win more than the current pot when you hit. That extra is implied odds.

On the turn the pot is 20 bb and your opponent bets 10 bb: the call needs 25%. You hold an open-ended straight draw, 8 outs, and hit 8 / 46 of the time, about 17.4%. To break even, the pot you win when you hit must average 10 ÷ (8 / 46) = 57.5 bb. The pot after your call is 20 + 10 + 10 = 40 bb, so you need to win 57.5 − 40 = 17.5 bb more on the river when you hit.

Implied odds need three things: money behind to win, a hand your opponent will not see coming, and an opponent who pays when you hit.

Reverse implied odds

The opposite also happens: you hit and lose more, because your improved hand is still second best. Dominated hands are the usual culprits.

• Top pair with a weak kicker against a range full of better kickers.
• A low flush draw when a higher flush is possible.
• The low end of a straight that a higher straight beats.

These hands win small pots and lose big ones. Out of position and with deep stacks, the damage grows, which is one more reason the big blind folds offsuit hands that look playable.

Rules of thumb

• Realised equity = raw equity × R. Compare that, not raw equity, with the price.
• Position, suitedness, connectedness and initiative raise R; being out of position and dominated lowers it.
• Implied odds need money behind, a disguised hand and an opponent who pays.
• Hands that make second-best hands carry reverse implied odds: they win small and lose big.

When they break

• Realisation is not a property of the hand alone; the same hand realises more in position or with less money behind.
• Implied odds are easy to overestimate. Against short stacks or cautious players, use the plain price.