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25NL - Flopped Flush Against River C/R
This BC needs to get out of the muck. To the regs, villain is a 24/7/1.5 through 68 hands: do you feel he has AJ enough here for me to call? Do we EVER check through this river? I'm probably being results-oriented, but whatever.
Also, regs, please don't answer the questions. Let's give others the chance to research, execute, and check the math needed for this river shove.
No-Limit Hold'em, $0.25 BB (7 handed) - Hold'em Manager Replayer from Poker Hands Replayer

saw flop
UTG ($27.35)
MP1 ($25.35)
MP2 ($18.70)
CO ($23.30)
Hero (Button) ($38.85)
SB ($25.75)
BB ($25.50)
Preflop: Hero is Button with 7 , 8
4 folds, Hero bets $0.75, 1 fold, BB calls $0.50
Flop: ($1.60) 2 , J , A (2 players)
BB checks, Hero bets $1.25, BB calls $1.25
Turn: ($4.10) 3 (2 players)
BB checks, Hero bets $2.75, BB calls $2.75
River: ($9.60) 3 (2 players)
BB checks, Hero bets $7.50, BB raises $20.75 (All-In), Hero calls $13.25
Total pot: $51.10
Questions
1) How much equity do we need to make this river call?
2) Give villain an initial range of {33-22,A3s,KhQh,KhTh,Kh9h,QhTh,Qh9h,Th9h,A3o}. How many combinations of AJ must we add to this range for the call to be +EV (Hint: PokerStove is your friend)?
3) Just for kicks: How many combinations of AJ can villain have HERE?
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