Originally Posted by makisaa
Is there any relation between poker and maths? I believe that poker is psycology game first and after this it is maths. Of course luck is necessary!
There's no "either psycholofy or math" involved: it's both
, there is always a precise mathematical way to play any particular hand. The dealer makes no decisions, therefore you're not trying to out-smart him. You also get to see all the cards, so you know the precise composition of the remainder of the pack.
Not so in Poker. Your opponents can do whatever they like, and you don't get to see all the cards. This adds a certain "fuzziness" to Poker math, but that's OK. If you know a play is +EV, you make it and it's not necessary to know exactly how +EV it is. It isn't always necessary to calculate anything. Flop TPTK + NFD against an aggrotard, it's obvious what to do: CRAI. He'll call with any piece of that flop. Maybe he'll even call with a bare straight draw. You're +EV all the way. Against an OMC who you know won't call without two-pair or better, then stuffing it all in is very -EV. He'll fold with nothing, and call you down when he has your TPTK beat, forcing you to draw to the flush as if that's all you had.
Secondly, psychology figures into your mathematical calculations. This comes into play when figuring such things as fold equity, or calculating the implied odds for calling with a long shot, speculative hand. If you're contemplating laying 2 : 1 in the button to rob the blinds, you need to succeed two out of three times immediately to be 0EV. If you have two nut scared nits in the blinds, you know you're immediately +EV. They will fold more than two out of three times you steal.
What if they're not? Perhaps they always defend when challenged, bit you also know that they'll five up too easily on the flop. You may not be getting immediate odds to steal, but you know you're risking more to win more OTF, so you don't need the immediate pot odds to make a steal raise the right play. How they play makes a difference on the mathematical probability that any given play will be +EV, 0EV, or -EV. You can't play --especially no, limit -- by formula. (Fixed limit is more amenable to pure play by formula, but even there it doesn't get you into the Big Leagues.)