The equation to find the calling frequency that will make your opponent indifferent between betting and checking his bluffs is P/(P+B). P = pot size, B = bet size. So if your opponent bets 3/4 pot, you need to call 57% of the time to make him indifferent.

The equation to find the minimum equity needed to call is B/(2B+P). So vs a 3/4 pot bet, you need a minimum of 30% equity to make a break-even call.

So if hands in your range that have 30% equity or more is less than 57% of your range, does this mean you need your range isn't strong enough and you should adjust your strategy on earlier streets to make it strong enough?

I think it depends on the board and who has the range advantage so much that these equations are only a jumping off point. If I have a range advantage then I can call more than the odds would suggest. If my opponent has the advantage, I can fold more than the odds would suggest.

Sometimes your range is capped and your opponent's isn't. There's nothing inherently wrong with this. It's just a part of the game. Sometimes your range is uncapped and your opponent's is. This is awesome. Sometimes both ranges are uncapped, but one player holds a range advantage. This is ok too. Sometimes both players ranges are capped. This is also ok.

What does it all add up to? Just try to make the most +ev play and let the chips fall where they may. Recognizing who benefits from the board and the action can help your decision making.

[QUOTE=RFoley03;45277104]

The equation to find the minimum equity needed to call is B/(2B+P). So vs a 3/4 pot bet, you need a minimum of 30% equity to make a break-even call.

QUOTE]

Isn't it B/(B+P) sine you don't include your called bet into the pot to be won??

e.g. Villian bets 100 into 200. You need 100/(100+200)= 1/3 equity as twice you will lose 100 and one you will win 200 to break even??

[QUOTE=khutchi;45341730] No he is right...equity equals B/(2B+P).

V = Expected Value
E = Equity

V = E*(P+B) - (1-E)*B
V = E*P + E*B - B + E*B
V = E*(P+2*B) - B

Now break even value means V = 0. Substituting

0 = E*(P+2*B) - B
B = E*(P+2*B)
B/(P+2*B) = E

wow. +1 Just_grindin. Thanks for clearing that up....

You must have hands that beat his bluffs 100% (in vacuum they lose to his value bets 100%). You call with them 57% of the time (57% top hands of your bluff catching range).
he value bets 7 times and bluffs 3 times. So by calling you have your 30% equity.