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Unit 5

Equity

How often you actually win, before a card is dealt.

3 ideas, then 9 lessons that drill them until the answers stop needing thought. Everything below appears inside the lessons themselves; this page is here so you can read it without playing, or come back to it after.

Equity is your share of the pot

The rule

The fraction of the pot that is yours on average if the hand is dealt out from here, over and over.

Equity does not say what will happen in this hand. It says what happens across every runout at once, weighted by how often each one comes. Any single hand ends with somebody taking all of it.

That is why it pairs with the price rather than standing alone. Equity is what you have. The price is what you need. Every call in poker is those two numbers held next to each other, and nothing else.

Read more: equity, variance

Races are close, domination is not

The rule

A pair against two overcards is nearly a coin flip. The same hand against a better version of itself is a disaster.

Two live overcards against a small pair is the closest thing in poker to a fifty fifty, which is why the pot usually goes in and why tournaments turn on those hands. Both players have a real claim.

Domination is the opposite shape and it is the one that quietly costs money. Ace king against ace queen shares an ace, so the times you both pair are the times the ace queen is drawing nearly dead. The hand is not slightly behind, it is barely playing.

By the numbers

  • 77 vs AKo

    55.0%

    for 77

  • AKo vs AQo

    74.4%

    for AKo

  • AA vs KK

    81.9%

    for AA

Worked example

Ace-King offsuit
vs
Ace-Queen offsuit

Both hands want an ace. Only one of them is happy when it arrives.

Read more: equity

Outs times four, then times two

The rule

On the flop multiply your outs by four. On the turn multiply by two. It takes a second and it is close enough to act on.

Two cards to come, so roughly four percent per out. One card to come, so roughly two. The real numbers come from the deck arithmetic and the shortcut lands within a point or two of them across the range that matters.

It drifts high once you get past about nine outs on the flop, because it counts the times you hit on the turn and again on the river as two separate wins. With a big draw, take a couple of points off and you are back on the true number.

Read more: rule of two and four, outs

The 9 lessons in this unit

  1. 1Pair against pair8 questions
  2. 2A pair against two overcards8 questions
  3. 3Dominated hands8 questions
  4. 4Suited connectors8 questions
  5. 5The classic races8 questions
  6. 6Equity and the price10 questions
  7. 7Small pairs against big cards8 questions
  8. 8How little a gap costs8 questions
  9. 9Unit review10 questions · review

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