I want to ask a question, but I will start by adding some value to this thread.

***** To know if a call is profitable we have to calculate our pot odds and compare it to our equity vs our opponents range (we get the equity with the pokerstrategy equilab)

- If villain bets pot 10$ into 10$, then we have 33% pot odds. We have to pay 10$ to win a total pot of $30. 1/3 or 1:2, however you want to note it.

We calculate this way: $10 (investment) / $30 (total pot) = .33 (aka 33%)

To verify this we can take 9 cases:

. in 6 we lose to a best hand

. in 3 we are right and win

- 6 times we lose 10$ = -$60

- 3 times we win a total of $90 (in pots), we extract our investment (10$*3) and get $60 pure winnings.

- So from 9 showdowns we have 0 loss/profit. This verifies the equation.

That said, we need at least 33% equity to make the call profitable. So if we win in half the time we are +EV.

If villain's bet is half the pot, then we have to be right with our call in at least 25% of the time to be +EV. (ex. villain bets 5$ into 10$... 5/20= .25 [pot odds] )

***** To know how often a bluff has get a fold we just have to know the pot and our bet size. If on the river we bet pot $10 into $10, villain has to fold in at least 50% of the time to make the bluff profitable.

We calculate it this way: $10 (investment) / 20$ (total pot won. our bet included) = .5 (aka 50%) [for BE]

To verify this we can take 10 cases:

. 5 times villain calls our bluff and wins

. 5 times our bluff succeeds and we take the pot

- 5 times we lose $50

- 5 times we in $100 (in pots), we extract our investment (10$*5) and we get $50 pure winnings.

- So from 10 cases we have won 5 times 10$ and lost 5 times 10$ = 0$ profit/loss. This verifies the equation.

This means that if from 10 cases he folds 6 times and 4 times he calls and we lose, it's +EV to bluff.

If we bet with half the pot then we have to get a fold in just 33% of the time to be +EV. (ex. we bet 5$ into 10$... 5/15= .33 )

***OK, what I want to ask is how do we make the math (in a simplified way) to find out how often do we need to get a fold from villain when we shove on the flop with equity if called? Please give several examples.**

Lets say we shove on the flop $10 into a $10 pot, if called we win 20% of the time at SD. How often do we have to get a fold for the semibluff to be profitable? (if 0 equity then that would be 50% of the time, but here we also have equity to include in the math) How do you do the math to find out?