Quote:
If you knew villain had KK and you fold on a blank turn then you make a gain in equity.
Vs. red KK assuming he would check fold on an ace turn, and we'd call and lose on king of spade turns.
EV(shove flop) = (0.399)(184+50+266) - (1-0.399)(266+50)
EV(shove flop) = 9.58
EV(call, fold turns) = (3/44)(50+184) + (8/44)(0.9091)(50+184+266) - (8/44)(1-0.9091)(50+266) - (32/44)(50) - (1/44)(50+266)
EV(call, fold turns) = 55.87
If we add that we call on Q turns incorrectly,
EV(call, call flush and queen turns) = (3/44)(50+184) + (8/44)(0.9091)(50+184+266) - (8/44)(1-0.9091)(50+266) - (29/44)(50) - (1/44)(50+266) - (3/44)(0.7045)(50+266) + (3/44)(1-0.7045)(50+184+266)
EV(call, call flush and queen turns) = 48.13
Vs. AhKh, assuming he shoves every turn
EV(shove flop) = (0.5126)(184+50+266) - (1-0.5126)(266+50)
EV(shove flop) = 102.28
EV(call, call A/Q/s turn) = (2/44)(0.3068)(50+184+266) - (2/44)(1-0.3068)(50+266) + (3/44)(0.9545)(50+184+266) - (3/44)(1-0.9454)(50+266) + (9/44)(184+50+266) - (30/44)(50)
EV(call, call A/Q/s turn) = 96.56
TLDR conclusions:
Because of the paired board, shoving the flop isn't as great of a play as it otherwise would be. Even though we have a 12 outer, we only have 40% equity vs KK. Even still, shoving is better vs AK specifically, especially if we feel like he'll check fold a Q turn (its the worst card for his range so it seems like he should.
Also, the fact that he bets 50 instead of 150 makes calling an inherently attractive choice with position. Sorry I went on my righteously indignant tirade about raising the flop. I still believe that the flop is a raise vs his overall range, and the reasoning is I think we're too likely to make equity mistakes on turns such as this. The more of an easy fold or call this turn is, the more I like calling the flop.