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IF we shove our $2.83 into the pot and lets say only Villain 2 calls and he has enough to make the call then we are given
Price to call=$2.83/ (POT+PRICE TO CALL)
$2.83/ ($4.23+2.83=$7.07)
No. That's not your equity calc for shoving. That's his equity calc for calling.
They're not the same.
Your equity calc is
(% of times he folds)*(value of the pot NOW)
+ (% of times he calls)*(% of times you win when he calls)*(value of the pot after he calls)
- (% of times he calls)*(% of times you lose when he calls)*(value of the pot after he calls)
which can be cleaned up a bit with parentheses
(% of times he folds)*(value of the pot NOW)
+ (% of times he calls)*(value of the pot after he calls)*((% of times you win when he calls) - (% of times you lose when he calls))
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