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Unit 12

Blockers and combinations

How many ways a hand can be held, and why that decides everything.

2 ideas, then 6 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.

Ranges are counted in combinations

The rule

A pair is six combinations, a suited hand four, an offsuit hand twelve. Names are not weights.

There are one thousand three hundred and twenty six ways to be dealt two cards. Ace king is sixteen of them, four suited and twelve offsuit, while aces is six. So a range containing both is more than twice as likely to be ace king as it is to be aces, even though the chart shows one box each.

This is the correction that makes range reading work. Asking whether somebody has a set or a flush draw is not a question about two options, it is a question about how many combinations of each remain, and the answer is usually lopsided in a way intuition gets backwards.

Read more: combos, range

Your cards are cards they cannot have

The rule

Holding one ace cuts the combinations of aces left from six to three. Half the hand you were afraid of just disappeared.

Every card in your hand is removed from every range at the table. That sounds obvious and its consequences are not, because the effect is largest on exactly the hands that matter most: the pairs and the nutted holdings that are already rare.

It works in both directions. The ace that blocks their aces also blocks the ace high hands they would have folded, so it cuts the bluffs out of their range as well as the value. Which half matters more depends on what you are trying to do with the information.

Read more: blockers, combos

The 6 lessons in this unit

  1. 1Counting combinations8 questions
  2. 2Pairs are rarer than they look8 questions
  3. 3What your cards remove8 questions
  4. 4Blockers preflop8 questions
  5. 5Reading a range by combination3 questions
  6. 6Unit review10 questions · review

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