My post was intended to focus on how to assess outs. For this exercise stack sizes don't matter. I agree stack sizes do matter when considering what action to take (for me stack size impacts the decision to 'not fold' more than it impacts the decision to fold – not folding incorporates implied odds where folding many times does not). However, that was not my question.
I posted this question in 3 forums and got the best, in depth, response from the Beginners Questions forum followed by the Probability forum. The Small Stakes NL forum yielded both the least number and poorest depth of analysis responses.
I think everyone made mistakes in their analysis including myself. Mistakes give some of your edge back to your opponents. This is a game of imperfect information. Isn't it in our best interest to accurately and correctly assess the information we do have?
There are two sides to every coin. You know those times when you have to call because you just don't know and you think that in the long run calling will show a profit. There must be a mirror image to that scenario where you just fold because you just don't know and in the long run you think you'll save money. There's never a guarantee in any one instance.
So, here goes my analysis. It's not perfect. No matter how good an analysis is, it can be improved.
When my $9 bet into a pot of $13 gets called in 2 places, I put at least one of my opponents on a 9. I'm pretty tight. They are pretty loose and not too savvy but they also aren't stupid. If they don't have a 9, they have to fear I do. Without specific reads on players I won't put a player on a better flush draw – those are just the breaks if I lose to a better flush – they'll often enough just have overs or A4.
But on the tun when the actions goes I check, bet 18, all-in for 28, I think they both have 9's.
I'm either convincing myself to fold or not.
If neither of them has 99, 94, 95, 44, 55, a single 9, 33, a pair greater than 6 or 7, or a better flush draw, then I have 21 outs.
If one of them has 98 and the other has 93, then I have 6 outs.
If one of them has 9x
or 9x, then the diamond of the same rank as x is removed from my outs.
If one of them has a boat, then I have 0 outs.
For these reasons I fold. There's no reason to not be able to think like this at game speed. As for my reasoning, if it's not accurate and applicable, then being able to think like this at game speed only serves as a detriment to my game. I'm hoping all you all will help improve my thought process.