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to the best of my knowledge, we need >50% equity against villain's calling range for value betting (which would be what we're doing here by shoving - we're not looking to make villain fold a hand stronger than ours)
i don't really know how to show it with numbers and equations, but i think C/C'ing is far better than shoving because i doubt he ever calls your shove with anything worse. think about that - let's say that his preflop range is 88+,AJo+,AJs+,KQs,KQo (i know that's more than 4% of hands but he's in late position, your stats of 4/4 are averaged out over 9 table positions) let's also pretend that he cbets all of that range, but only puts the rest of his stack in with top pair or better (which is very believable for someone so nitty)
if you don't understand the stuff i'm about to go into go to the beginners digest and look up "how to calculate combos.
so he cbets
88 (3), 99 (6), TT (6), JJ (6), QQ (1), KK (3), AA (6), AJ (16), AQ (8), AK (12), KQ (6)
this comes to 72 combinations of hands. and against this range you have
Board: Kd 5c 8s
Dead:
equity win tie pots won pots tied
Hand 0: 45.978% 45.29% 00.68% 32733 495.00 { 88+, AJs+, KQs, AJo+, KQo }
Hand 1: 54.022% 53.34% 00.68% 38547 495.00 { QdQh }
54% equity. definitely enough for a call. especially if you think your opponent isn't going to try to bluff you on the turn with hands that you beat (very unlikely given our opponents' playing style). so we know we have enough equity to call if that his is cbet range. it may well not be his actual range, but i'm going through this to different actions, in this case flat-calling or shoving, do to our opponent's ranges. now look what happens to the range we are up against when we shove:
Board: Kd 5c 8s
Dead:
equity win tie pots won pots tied
Hand 0: 93.114% 93.11% 00.00% 27655 0.00 { KK+, 88, AKs, KQs, AKo, KQo }
Hand 1: 06.886% 06.89% 00.00% 2045 0.00 { QdQh }
we're in deep shit and we definitely want to avoid putting money in the pot against this range (which is exactly what we're doing by shoving). let's see what happens if he does start calling us with a little worse than top pair:
QQ and JJ added to calling range:
Board: Kd 5c 8s
Dead:
equity win tie pots won pots tied
Hand 0: 78.209% 76.86% 01.35% 28153 495.00 { JJ+, 88, AKs, KQs, AKo, KQo }
Hand 1: 21.791% 20.44% 01.35% 7487 495.00 { QdQh }
+ TT and 99
Board: Kd 5c 8s
Dead:
equity win tie pots won pots tied
Hand 0: 61.307% 60.29% 01.02% 29245 495.00 { 88+, AKs, KQs, AKo, KQo }
Hand 1: 38.693% 37.67% 01.02% 18275 495.00 { QdQh
he's never calling us down with just ace high, so this is the best we ever get our money in (99 is the lowest one pair hand in his range) and we still can see a definite equity disparity.
for these reasons i think calling is far better than going all in, and a case could be made for folding (if, for example, we know that villain never bets without top pair). the point is to think about your opponents range, and think about how your actions influence that range. and how you can use that to help you. hope this helps.
tl;dr ldo
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