Preflop Raise First in Ranges
Before we can develop 3-bet ranges versus opens from different positions, we must first understand what makes a hand theoretically correct to raise first in.
우리가 오픈 레이즈를 상대 할 때, 각각의 포지션마다 3벳 레인지를 서술하기(devleop) 전에, 이론적으로 어떤 핸드들이 올바른 첫 오픈 레이즈 인지 이해하고 있어야 한다.
Since the expected value of folding is zero, a player should raise first in with any hand that has a positive expected value.
폴드의 기댓값은 0이기 때문에, 플레이어가 아무 핸드로 첫 오픈 레이즈를 한다면 이 레이즈는 + 기댓값을 갖는다.
That is, the worst hand in a raise first in range should be close to 0 EV since it’s just barely above or equal to the expectation of folding.
말하자면 쓰레기 핸드로 오픈 레이즈를 하는 것은, 간신히 기댓값이 +을 넘거나 0이기 때문에 거의 기댓값이 0이다.
Therefore, we can make the following four assumptions about the properties of the worst hand in a game theoretically optimal player’s raise first in range.
1. The expected value of the hand should be close to if not exactly 0 EV.
핸드들의 기댓값은 0에 가까운 것이지, 0이 아니다.
A hand has an expected value of approximately 0 if it should be opened some but not all of the time.
For instance, if an UTG player raises six-five suited only 75 percent of the time then the expected value of the hand should be close to 0.
But if he raised with it all the time, he’s seen to be playing too many highly speculative hands early and thus is vulnerable to reraises and other plays.
Hence the expectation for the six-five suited would likely now be negative.
2. The hand should frequently fold when facing a 3-bet.
It does not usually make sense to defend against raises with the weakest hands in the opening range. The EV lost will be equal to the size of the preflop open.
3. The hand will have a total EV of better than -3.5 big blinds when players respond by calling rather than 3-betting.
(Even the weakest hand in an opening range can become a strong hand on the flop.)
4. The hand will not have an EV of greater than +1.5 big blinds when it sees a flop.
Poker is a zero sum game, and if the worst hand in a preflop opening range expects to win more than just the blinds, this implies that the cold caller is not playing optimally — his cold call would have to have a negative expected value.
포커는 제로섬 게임이고,
The above assumptions provide us with a useful guideline for beginning to figure out what preflop 3-betting and opening ranges must look like.
Since a player risks 3.5 big blinds to win 1.5 big blinds with his weakest opening hands, it must succeed at least 70 percent of the time to yield an immediate profit.
This means if all the opponent’s combined 3-betting frequencies result in the preflop raiser getting 3-bet a total of 30 percent or more, it will not be profitable to raise first in with a hand which has to fold to a 3-bet.
