I'm trying to work out the formula to figure out what percentage of the pot I need to bet if I want to make the villain indifferent to calling.
A similar question has a response by paparazzo where he solves for "f" which is the bluffing frequency. The right bluff frequency
I basically want that same thing but where you solve for "s" in his terms.
Using the classic simple example let's say I have 2 combos of value and 1 combo of bluffs. So my bluff percent is 33%. How do I calculate what percent of the pot I need to bet to make the villain indifferent to calling? I know in this example the value is 100% of pot, because that will make his pot odds the same as my bluff frequency; but I only know that because I know it from the other direction and it's so simple.