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Calling A Shove HU IP
1 - Identify Pot Size
2 - Idenfity Bet Size
3 - Determine Equity
4 - if bet/(2*bet + pot) < our Equity equity -> call (should factor in rake too, but I won't)
Exact EV
EV = p(win)*(bet+pot) - p(lose)*(bet)
Example 1
UTG: $5 (250 bb)
MP: $2.37 (118.5 bb)
CO: $2 (100 bb)
Hero (BTN): $2.05 (102.5 bb)
SB: $2.93 (146.5 bb)
BB: $4.05 (202.5 bb)
Preflop: Hero is BTN with 7 7
UTG folds, MP raises to $0.05, CO folds, Hero calls $0.05, SB calls $0.04, BB calls $0.03
Flop: ($0.20) T 7 5 (4 players)
SB checks, BB checks, MP bets $0.16, Hero raises to $0.56, 2 folds, MP raises to $2.32 and is all-in, Hero calls $1.44 and is all-in
The pot is $2.46, the bet is $1.44.
Villain has a range of {TT+,77,55,AhKh,AhQh,AhJh}, we have 80% equity
B/(2B+P) = 1.44/(2.88 + 2.46)
So we need 26.97% equity to be profitable.
80>26.97 -> it's a call.
Exact EV wise
EV = 0.8099*(2*1.44 + 2.46) - 0.1901*(1.44)
EV = 2.89 (3sf)
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