Quote Originally Posted by TheNatural
So.. if I'm understanding this correctly... Tyson's pot odds essay is wrong? He doesn't include his own call as a part of the total pot size. Is this what you're saying koomoe?
Tyson's essay is incorrect.

The standard way to use pot odds is to calculate the probability that you will win (make your draw in this case) and convert that probability to odds by dividing the probability you won't win by the probability you will win.

In the case of a flush draw with one card to come, the probability of making the draw is 9/46 = 19.57%, so the probability of not making the draw is 100% - 19.57% = 80.43%.

That means the odds are 80.43:19.57, which is about 4.1:1. The 4.1 is the number you use to determine the size of the pot (meaning you can call up to about 24.33% of the pot).

Odds compares the amount you bet versus the amount you profit. You call $32 to win $132, for example (Notice that 32*4.1 = 131.2).

Probability multiplies the total amount of the pot after all bets are put in. 19.57% of the time you win $164, for example, making the value of the pot $164*.1957 or $32.

Notice that properly doing the calculation using probability would be difficult at the table. That's why most people convert the probabilities to odds for use at the table.