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We raise to get villain to re-bluff us with a worse draw. To show you how hugely smoked he is when he gets it in, I provide you a Pokerstove output:
Board: 4h 2h 4c
equity win tie pots won pots tied
Hand 0: 80.455% 80.00% 00.45% 792 4.50 { AhJh }
Hand 1: 19.545% 19.09% 00.45% 189 4.50 { KhQh }
Our raise will likely induce the following to shovel:
Board: 4h 4c 2h
equity win tie pots won pots tied
Hand 0: 45.377% 45.28% 00.09% 10759 22.50 { AhJh }
Hand 1: 54.623% 54.53% 00.09% 12956 22.50 { QQ-TT, 44, 22, KhQh, Th9h, 9h8h, 8h7h, 7h6h }
We have enough equity to bet/call vs this range given the amount of money in the pot. Also keep in mind, sometimes villain will have a pure bluff like KQo and just fold. OR, if he'd like to rebluff us, he'll have 15% equity. I didn't include this in his range here, but lets say we're up against a guy who just needs to get that last bet in and will also jam any KQ combos as well as the rest of his range I provided:
Board: 4h 2h 4c
Dead:
equity win tie pots won pots tied
Hand 0: 58.568% 58.35% 00.21% 20797 76.50 { AhJh }
Hand 1: 41.432% 41.22% 00.21% 14690 76.50 { QQ-TT, 44, 22, KhQh, Th9h, 9h8h, 8h7h, 7h6h, KQo }
This range assumes he's crazy enough to have 15 combos of air to shove as a re-bluff. If he folds these hands, our raise is still +EV because he's building a pot and folding with air and when we do get it in we're flipping vs his range. 15 combo's of hopelessness sounds like a lot compared to the 4 combo's of boats he's also repping, but 15 combo's is only 1 random Broadway hand like KQ that he decides to turn into a bluff.
edit: I forgot to include KQs also in the re-bluff scenario, which would improve our equity even more. Also, all calling does is create passive dead money for this guy to take away on like 60%+ turns we're unhappy with.
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