Mathematic of poker book question
Posted by kingkong
Posted by kingkong posted in Mid Stakes
Mathematic of poker book question
Hi, at page 97 it seems like two equations are put in the book out of nowhere and I can't make sense out of it.
The context is player A has a value hand 20% of the time, air 80%, the pot is 3 and we understand he bets 1. Player B has a bluff catcher.
Then the authors says x is Player A bluffing frequency, 3x is B ex-showdown equity, and then these 2 equations are in the book :
EV of B fold = 3x (sorry can't reproduce the symbols correctly)
When A bluffs more than 5%, B switches to calling all the time:
EV of B call = x – 0.2( sorry, can't reproduce the symbol for EV)
I really can't make sense out of it. If for example A bluffs 5% of the time, which is optimal, then 3x = 0,15. But how can the EV of B fold have any other value than zero ? The second equation, I also don't understand where it comes from. The result however makes sense with the first one since the result would be -0.15 for a bluffing frequency of 5%. But why do - 0.2 ? The only thing I guess is 0.2 must be A value range. But even then I can't make sense out of it, because it kind of implies B is losing on a call when he shouldn't (0.05)-(0.2).
I don't know if I should just skip the page and forget about it because I understand the idea that A must bluff 5%, value bet 20% and bet 1/3 pot, while B by the way has to call 75% of the time vs this scenario, fold all the time if A under bluff and call all the time if he over bluff. But I think it's frustrating of not understanding what the author means while everybody think this book is great.
Loading 12 Comments...
Be the first to add a comment
You must upgrade your account to leave a comment.
This thread has been locked. No further comments can be added.