Clarifying bet and raise sizing in relation to the pot once and for all

[couriermike]

Right. Nice formula too.

It's a little counter-intuitive to me that p includes villain's last bet, but it does yield a really nice formula. Of course you can do it either way.

So, to illustrate the case of a pot-sized open raise, small blind's already bet .5, big blind raised to 1,
so p = 1.5, B = 1, and we want to make a full pot-sized raise, so f = 1.
Plugging in to R = B + f(p+B), we get R = 1+1*(1.5 + 1) = 3.5, correct.


If you don't want to think of the pot as containing the last uncalled bet or raise, then daviddem's formula becomes
R = B + f(pot + 2B)
ie, match the bet, then add another f times all that, and that's an f-times pot-sized raise, laying odds of 1+f:f to the original bettor.

edit:
We should note that this formula works whether
*hero is the first to bet that street, (in which case, B = 0 in the formula) and then the first caller behind is getting pot odds of 1+f:f, or
*villain is the first to bet and it folds to us, or
*there has been previous action that street and villain is either calling or raising (previous action before villain is just part of the pot), and this will lay odds of 1+f:f to villain, assuming everyone else in between folds.

had to re-edit the edit lol

[daviddem]

Right. Nice formula too.

It's a little counter-intuitive to me that p includes villain's last bet, but it does yield a really nice formula. Of course you can do it either way.

...

If you don't want to think of the pot as containing the last uncalled bet or raise, then daviddem's formula becomes
R = B + f(pot + 2B)
ie, match the bet, then add another f times all that, and that's an f-times pot-sized raise, laying odds of 1+f:f to the original bettor.

mmmh, but then how does your formula work in case of a reraise (example 3 in OP) or a reraise with calls after the raise? looks like you need some unnecessary mind twisting here, esp. in complex situations.

TBH I like mine better because:
1) the total pot size before it is out turn to play (and including villain's uncalled bet or raise) is always displayed in the middle of the table or wherever it says "total pot"
2) B is always the amount that villain last bet or raised to, which is also readily available (displayed in front of him)

Easy.