Basically, I want to calculate and compare EV of 2 different lines.
I simplified initial hand. We are heads up in position on the turn, the board is:
3
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Q
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8
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4
Our hand 5
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5
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(~33% equity)
Opponent has 5 combos: Q
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T
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; A
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8
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; 6
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6
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; J
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T
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; K
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T
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(~67% equity)
The pot is 7bb and opponent checks to us. We can either bet 3.5bb and villain calls with his whole range except one hand (K
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T
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) and open-check any river. Or we can check back, then villain will bet same 3.5bb on any river.
Let`s assume our equity when called on the turn- 20%.
EVbet=(0.2*7) + 0.8*{(0.2*10.5)-(0.8*3.5)}=
=1.4 + 0.8*(2.1-2.8)=1.4-0.56=0.84bb
EVcheck=(0.33*10.5)-(0.67*3.5)=3.46-2.34=1,12bb
Is it correct?