re: Poker & Two ways to look at odds - Which is the right way?
I don't think OP is hitting the point he's trying to make...
You have pot odds
, and implied pot odds... if all the money you can win is already in the pot, then the two values are the same. If there is more money behind, implied pot odds say we can win that money, too, especially as stackot ratio gets closer and closer to even, and eventually stacks become less than the pot (pot commited)...
I'd love to go into further discussion on this, but I don't really understand the question. I'd rather take QQ vs AK heads up, then 99 vs AKx2 and QQ four way...
But I'm known to call with some pretty shady hands to 24o... in multiway pots with high effective stacks and a small preflop raise.
OP, if you post more specific examples, you might get more insight. And by more specific, I mean specificer.
What street are we on, what do we hold, what do we know about villains, what are our chances of being ahead, and what are our outs?
If we have a NFD on the turn against suspected hands like sets, two pair, and TP, that changes things alot rather than being in a five-way pot with a low pocket pair preflop, where most people would tell you to save yourself the money and not worry about trying to add 4 stacks to your stack with a miracle card. Personally I'm on the fence about it, if I have 55 and four people are all-in ahead of me and there is somehow NO dead money in the pot, the math says there's not an incorrect play, if you call and hit your 5 and aren't up against a bigger set, you win 400 BBs, provided everybody has 100 BBs, or lose 100 BBs.
You'll win 400 BBs 20% of the time, and lose 100 BBs 80% of the time, roughly, but most people would rather get their money in with an edge, and this decision seperates a poker player from a gambler.