Can odds be beat? That’s a good question.
It begs another: Odds of what?
I typically attempt a quick odds ratio estimate when I’m considering calling, betting, or folding. If my cards are suited, and after the flop I have four cards to a flush, I know that somewhat less than half the time, I will be blessed with a fifth suited card on the turn or river.
How much will it cost to stay in the game, or to raise? And how likely is it that I will win? How much am I likely to win if I do?
An added challenge is that it’s hard to know how big the pot will go. If I drill an ace high flush on the turn, I can bet for value, potentially even going all in. This means I might double up or better.
In no limit hold’em, most of the winnings (or losses) occur in a small percentage of high-stakes hands. Sometimes, betting “against the odds” will give you an opportunity to improve, and if you do, you might find yourself well-placed to win a Big Hand.
I guess what I’m trying to say is that, with poker, we are dancing with the odds.
The other example that we all know is that betting can actively change the odds I face if I drive one or more of my opponents to fold. We can even estimate the probability that an opponent will fold based upon A) the likelihood of them having a good hand, and B) what I know of their temperament.
So, the better one understands probabilities, the better a poker player one will be. But understanding how probabilities can shift is also important.