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EV calculation

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  1. #1
    Muzzard's Avatar
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    Default EV calculation

    Hey, I'm kinda struggling with EV calculations. I want to know if the turn cal is +EV assuming I stack him everytime I hit my outs.

    If he has a set I'm 22%, KK 30% and AA 22%. Can someone show me how to o the calc? 12.7 left in the stack after turn call.

    $0.1/$0.25 No Limit Holdem
    6 players
    Converted at weaktight.com

    Profiles and Stacks:
    UTG ($25.00) 20.0/6.7/3.0 (15)
    Hero ($30.40) 15.8/11.2/0.8 (196)
    CO ($28.15) 20.9/6.1/1.5 (196)
    BTN ($14.00) 57.6/10.6/1.1 (132)
    SB ($26.55) 30.8/5.1/1.1 (78)
    BB ($98.15) 49.5/12.8/5.8 (196)

    Pre-flop: ($0.35, 6 players) Hero is UTG+1
    UTG raises to $1, Hero calls $1, CO calls $1, BTN calls $1, 1 fold, BB calls $0.75

    Flop: ($5.1, 5 players)
    BB checks, UTG bets $3.6, Hero calls $3.6, 2 folds, BB folds

    Turn: ($12.3, 2 players)
    UTG bets $7.7, Hero calls $7.7

    [Results Hidden]
  2. #2
    Ok let me try

    According to pokerstove
    Board: Tc 7d 3d Qc
    Dead:
    equity win tie
    Hand 0: 22.727% 22.73% 00.00% { AdJd }
    Hand 1: 77.273% 77.27% 00.00% { 33 }
    ---
    equity win tie
    Hand 0: 27.273% 27.27% 00.00% { AdJd }
    Hand 1: 72.727% 72.73% 00.00% { AA }
    ---
    equity win tie
    Hand 0: 29.545% 29.55% 00.00% { AdJd }
    Hand 1: 70.455% 70.45% 00.00% { KK }
    --

    I think it would help to consider what his holdings are, and how often he is holding them? I won't consider that, for sake of simplicity

    I don't know if you should include your bet in the denominator or not, so I put both down below
    7.7/(7.7+7.7+12.3+12.7) = 19.06% equity needed

    7.7/(7.7+12.3+12.7) = 23.55% equity needed

    Another calculation:

    Ev = .7727(-7.7) + .2273(40.4) = -5.94979 + 9.18292 = +3.23313 EV

    Ev = .7727(-7.7) + .2273(32.7) = -5.94979 + 7.43271 = +1.48292 EV


    Like I said I don't know whether to include your call in the total winnings or to exclude it

    Obviously assuming that you win his stack everytime you hit is a BIG assumption... sorry for being unsure on my calculations
  3. #3
    Ok I thought this one over and I want to recalculate it...

    First I'm going to set up some assumptions:
    1.) If you hit your flush, villian will call all-in 60% of the time
    2.) If you hit your gutshot, villian will call all-in 80% of the time
    3.) If you hit your ace, you are good 40% of the time (and decided to call/value bet AI)
    4.) Villian has a set 25% of the time (for redraw calc)

    Obviously the following calculations are largely dependent on the above, and if you would like to tweak them, let me know
    Edit: While crunching through the calculations, I created a spreadsheet which will allow for easy manipulation of the above assumptions, and quickly find total EV


    You have 7 flush outs that don't pair the board, 46 cards unknown, 7/46 = 0.152
    EV = (.152 x .6 x 32.7) + (.152 x .4 x 20) = +4.203
    EV = (villian call AI) + (Take pot on river)

    2 flush outs that pair the board, 2/46 = 0.043
    EV = (.043 x .75 x .6 x 32.7) + (.043 x .75 x .4 x 20) + (.043 x .25 x -20.4) = +0.679
    EV = (calls AI w/o FH) + (Take pot) + (Lose turn and river bets vs. FH)

    3 non diamond Kings, 3/46 = 0.065
    EV = (.065 x .8 x 32.7) + (.065 x .2 x 20) = +1.967
    EV = (villian call AI) + Take pot on river)

    3 Aces, 3/46 = 0.065
    EV = (.065 x .4 x 32.7) + (.065 x .6 x -20.4) = +0.055

    You brick everything and fold, 1 - (15/46) = 0.674
    EV = (.674 x -7.7) = -5.189

    Total EV = +1.71
    Everytime this exact scenario plays out, you can expect to earn $1.71
  4. #4
    12/46 ~ 3:1 you're getting about 2.5:1 so call for implied odds.

    Every time you hit you need to make up the extra 0.5:1 so you need to make $3.50 on the river on average.

    That's how I'd do it in game which is hopefully useful.
    3k post - Return of the blog!
  5. #5
    ThelVlaster, meet www.holdemranger.com
  6. #6
    hold'em ranger looks pretty sweet
  7. #7
    Nice find, Ash... I had been using pokerstove, so this should be a nice transition. I will have to play around with it when I get a chance.

    While I don't think it is an end-all-be-all of poker math or EV calc, (what is) I do think it will help cut down time and enable more analysis than previously available.

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