Multiway All-In Pot

Ragequit

Ragequit

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Hi all, had this NL2 hand sent to me this morning. Hero asked if he should have called or not?


Begin Hand History
--------------------------------------------------------------------




Hold'em No Limit - $0.01/$0.02 - 9 players
Replay this hand on CardsChat

UTG (Hero): $2.03 (102 bb)
UTG+1: $2.13 (107 bb)
MP: $4.01 (201 bb)
MP+1: $0.54 (27 bb)
LP: $2.32 (116 bb)
CO: $2.31 (116 bb)
BU: $2.00 (100 bb)
SB: $2.15 (108 bb)
BB: $3.36 (168 bb)

Pre-Flop: ($0.03) Hero is UTG with Q K
Hero raises to $0.06, 6 players fold, SB calls $0.05, BB calls $0.04

Flop: ($0.18) 8 T 9 (3 players)
SB bets $0.02, BB raises to $0.23, Hero calls $0.23, SB raises to $2.09 (all-in), BB raises to $3.30 (all-in), Hero calls $1.74 (all-in)

Turn: ($6.33) 3 (3 players, 3 all-in)

River: ($6.33) J (3 players, 3 all-in)

Total pot: $6.33 (Rake: $0.22)

Showdown:
BB shows J 9 (two pair, Jacks and Nines)
(Equity - Pre-Flop: 26%, Flop: 40%, Turn: 60%, River: 0%)

SB shows 7 7 (a straight, Seven to Jack)
(Equity - Pre-Flop: 32%, Flop: 11%, Turn: 7%, River: 0%)

UTG (Hero) shows Q K (a flush, King high)
(Equity - Pre-Flop: 43%, Flop: 50%, Turn: 33%, River: 100%)

SB wins $0.23
UTG (Hero) wins $5.88



-----------------------------------------------------------

I ran the numbers:

He has about 50% pot equity here on the turn I believe (Full Hand Below)


9 Outs for K High flush draw
4 Outs for the remaining Jacks
= 13 Outs
= 50-52%
(Some outs are not clean etc but it's about right)



The pot is very large due to the action.




Hero's equity needed to call is:

= Risk / (Risk + Reward)

= Call / (Call + Current Pot)

= $1.74 / [($1.74) + ($0.23 + $3.30 + $2.09 +$0.18)]

= 23% Equity needed to make this call




Given that hero has 50% pot equity, I believe this the call was Correct. Can people please check my work and leave a comment below.

Humbly appreciated,
Ragequit
 
Vallet

Vallet

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You have calculated the winning percentages well and decided to take a risk. But I was surprised by the player on the small blind. He had an 11 % chance of winning and unexpectedly put all in. It was a kamikaze player.
 
Ragequit

Ragequit

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EV Extension

Thanks, if I wanted to extend this to an EV(Call) calculation I'm assuming it's:


EV(Call) = (%Win)*($Win) + (%Lose)*($Lose)
EV(Call) = (0.5)*($3.66) + (0.5)*(-$1.74)
EV(Call) = ($1.83) + (-$0.87)
EV(Call) = $0.96

For ($Win) is it $3.66 I put in? or is ($Win) = $5.49? (The full pot including my call)

If so, the calculation changes to:


EV(Call) = (%Win)*($Win) + (%Lose)*($Lose)
EV(Call) = (0.5)*($5.49) + (0.5)*(-$1.74)
EV(Call) = ($2.75) + (-$0.87)
EV(Call) = $1.88

Which EV(Call) Is the correct answer? I think that is the 2nd one: $1.88


Thank you to anyone who can comment and help. Really appreciated.

Ragequit
 
Last edited:
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