Re: blockers.
Quote:
How do we block Ax and Kx just because I have AK? How many times in a raised pot does it end up being AQ vs AT on a Axx board? Or A9s vs AJ on a Axx board? It happens all day every day. Thats why we learn not to call raises with AT.
Blockers matter because it reduces the probability of villain having certain holdings, depending on their range. We're not saying they *can't* have those holdings, but blockers change the probability significantly.
If someone's range contains {AA-QQ,AK-AQ,KQs}, the combos look like:
AA-QQ: 6 combos each
AK-AQ: 4 suited, 12 offsuit combos
KQs: 4 combos
Total: 54 combos. AK makes up 29.6% of this range, AA-KK 22%, QQ 11%.
If we hold AKo, these numbers change dramatically:
AA-KK: 3 each
QQ: 6
AK: 2 suited (we block two suits), 6 offsuit
AQ: 3 suited, 9 off
KQs: 3 suited
Total: 35 combos
AK now makes up 23%. AA-KK are 17%. QQ is 17%, and AQ is now a whopping 34%!
Obviously, it matters which hands villain can hold - if they never have QQ, then blockers don't matter as much. But we shouldn't ignore the very real differences in ranges blockers cause.
[did these numbers by hand - apologies for any arithmetic errors]