Breaking Down The Math Of A 4-bet Bluff

[shinzilla 0]

$1/2 NLEffective Stacks: 100 bbI’m on the button with A4s with one limper in the pot. I open to $9. Lag SB 3-bets to $30. Everyone folds to me. Is a 2.5x 4-bet profitable here? Do I have to call a shove?Amount in pot before 4-bet = $434-bet amount = $75Lag shoving range = TT+, AQs+, AQo+If lag shoves, I have to call $125 to win $279Pot odds: 2.232 to 1Actual odds: 2.240 to 1, so fold! Pot odds < Actual odds, so have to fold to a 4-bet!amount in pot (fold equity) + (-our raise)(villain shoves over our 4-bet and we fold)43x - 66(1-x)>043x-66+66x>0109x>66x>.6055What does villain's 3-betting range have to be here for a 4-bet to be profitable against villain? And correct me if any of my math is wrong here.

[Sheiky 0]

http://cts687.livejournal.com/And scroll down just past halfway to September 11th 2006

[NoBBiR 0]

http://cts687.livejournal.com/And scroll down just past halfway to September 11th 2006

^^ Is a very good read.

[Dictius 0]

http://cts687.livejournal.com/And scroll down just past halfway to September 11th 2006

Wow, nice link. Everyone should read this.

[dt1313 0]

Just wanted to say Thanks to Sheiky. Great Read !!!Dan

[Acid_Knight 2]

Pot odds: 2.232 to 1Actual odds: 2.240 to 1, so fold! Pot odds < Actual odds, so have to fold to a 4-bet!

For the record, if it's that close, you'd better be calling for metagame, his range could be wider etc...

[rdtedm 0]

http://cts687.livejournal.com/And scroll down just past halfway to September 11th 2006

Very good read, thanks,

[Dictius 0]

Combating Aggressive Three-Bettors in NL Hold ’em, Part 1by Dusty Schmidt and Bryce Paradishttp://twoplustwo.com/magazine/issue40/schmidt_0408.phpCombating Aggressive Three-Bettors in NL Hold’em, Part 2by Dusty Schmidt and Bryce Paradishttp://twoplustwo.com/magazine/issue41/paradis_0508.phpPart 1 discusses basically the same thing CTS's blog mentioned but in more detail.Part 2 discusses when to call a light 3 bettor.