PokerStars No-Limit Hold'em, $0.05 BB (4 handed) - PokerStars Converter Tool from http://www.flopturnriver.com

Hero (BB) ($9.43)
UTG ($5.79)
Button ($13.54)
SB ($5.94)

Preflop: Hero is BB with A, Q
2 folds, SB bets $0.16, Hero calls $0.11

Flop: ($0.32) 2, J, 4 (2 players)
SB checks, Hero checks

Turn: ($0.32) 3 (2 players)
SB checks, Hero checks

River: ($0.32) K (2 players)
SB checks, Hero checks

Total pot: $0.32 | Rake: $0.01

This is the first time this guy had raised my blind he'd being playing a tight pre-flop game thus far.

The SB opening range i put him on was: {22-AA, AJ+ KQ}

If he c-bet the flop i would have folded and been happy about it vs such a strong range. But he checks.

So i adjusted his range to: {TT-55,33,AQs+,AQo+}

So he has 42 combinations of PP's in his range, 9 combinations of AQ and 12 combinations of AK.

We can probably remove AQdd + AKdd because he would probably c-bet those hands too. So 42+8+11= 61 combo's in total.

Looking back now it seems this guy was a tight player pre-flop who played very fit or fold post flop, i'm pretty sure i'm getting a HUD tonight so i'll be able to provide stats in future and analyse shit more effectively.

So if i bet 0.15 as a bluff here i'd need him to fold 32% of his range for a bluff to be +EV in a vacuum. We need him to fold 19.5 let's round up to 20 combos for this to be +EV then. If he folds 33,55,66,77 that's 24 combos already and he would probably fold a few combos of AK AQ as well. So a beting here is +EV in a vacuum.

Going to try and calculate the EV of checking compared to betting.

Ev of checking assuming it checks down to showdown = 0.28(0.32) = 0.0896 (our equity vs his checking range*the pot)

Ev of betting then, assuming he folds 33,55,66,77 and 1/2 his combos of AQ and AK also assuming if he calls we never win the pot.

24+4+5=33 so let's assume his folding % is 54%.

EV of we bet villain folds, we win the pot: 0.54(0.32) = 0.1728

Ev of villain calling, we lose our bet: 0.46(-0.15) = -0.069

Ev of betting = 0.1728 + -0.069

Ev of betting = 0.1038

So comparing the two Ev of betting is better by 0.0142

Looks like i missed a +EV bluff.