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i'll do this without reading your analysis or any other responses:
for relatively unknown players, i like to try to imagine the widest range they would call with. because we narrow villain's ranges with every street, i think it's better to have every hand that is in his range in your estimate of his range, than it is to give him too much "credit" and exclude some combos which are in it and could play a vital part in decisions on later streets. so i'm going to say
22-QQ, A8s+,A9o+,KTs+,KTo+,QTs+,QTo+,JTs,JTo,56s-T9s
Flop: ($0.85) 3 , Q , J (2 players)
BB checks, Hero bets $0.60, BB calls $0.60
tbh i'd prefer at least 70c here, the boards texture is such that i doubt he's going to fuck with you with any marginal holdings - any hand he calls with is usually a flush/straight draw or a pair of jacks or better. when he calls he thinks he has a decent chance of having the best hand or making the best hand. thus we get value. range:
JJ(3),QQ(3),A8-ATss(3),AK(16),AJo(12),AQo(12),KT(16),KJ+(24),QT+( 21),JT(12),65ss-89ss(3),T9s(4)
calculating the combos of that range took ages and messed with me because at first i tried to divide them into "made" hands and "draws" so we could see how it was weighted but then i fucked up and ended up doing it as so. point out any errors you see and i'll edit them in.
Turn: ($2.05) 3 , Q , J 10 (2 players)
BB bets $1.50, Hero calls $1.50
i think this turn lead here is almost always for value, but i also think he bets lots of two pair hands and top pair with the K or A of spades for "value" here, it'll be interesting to see your equity once i think of a range:
JJ,QQ,A8ss-A9ss(2),AK(16),AsJx(3),AsQx(3),KsTx(3),KsJx(3),QT+ (18),JT(9),56ss-89ss(3)
against which we have:
Board: 3s Qs Jh Ts
Dead:
equity win tie pots won pots tied
Hand 0: 59.695% 59.70% 00.00% 2075 0.00 { 3d3h }
Hand 1: 40.305% 40.30% 00.00% 1401 0.00 { QQ-JJ, AKs, AsJs, As9s, A8s, KsJs, QTs+, JTs, 9s8s, 87s, 76s, 65s, AKo, AsQc, AsQd, AsQh, AsJc, AsJd, KsJc, KsJd, KsTc, KsTd, KsTh, QTo+, JTo }
decent equity, but i like your call because once we raise, his range becomes much stronger and our equity becomes much worse. i could very well have messed up some combo calculations or the input into stove, it got pretty nitpicky. i can edit it later if so. onto the river.
River: ($5.05) 3 , Q , J 10 7 (2 players)
BB bets $2, Hero?
again, i think this line is almost never a bluff, but i imagine he bets a decent amount of his turn range on this river, as it seems pretty harmless, also his betsizing is small so i would include lots of "thin value" hands that were in his turn range. you're getting 3.4:1 (22.5% equity needed to breakeven on a call) which i imagine you will be calling. range:
JJ,QQ,A8ss-A9ss(2),AK(16),QT+(18),JT(9),56ss-89ss(3)
Board: 3s Qs Jh Ts 7h
Dead:
equity win tie pots won pots tied
Hand 0: 49.091% 49.09% 00.00% 27 0.00 { 3d3h }
Hand 1: 50.909% 50.91% 00.00% 28 0.00 { QQ-JJ, AKs, As9s, As8s, QTs+, JTs, 9s8s, 8s7s, 7s6s, 6s5s, AKo, QTo+, JTo }
call imo.
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