*Originally posted by VorpalF2F*

*Originally posted by Aydayum*

booomm: If it works to have wider preflop ranges with three players, then why wouldn't they work with 9 players when 6 have folded and you are on the button? As far as the current situation is concerned, it is exactly the same situation except that 6 players have folded meaning the two remaining opponents unseen hands have a greater probability of having kings/aces, since there are more good/acceptable hands with kings and aces.

The question is how much information the six folded hands give about the two remaining opponents unseen hands? Enough to change to much wider preflop ranges or not enough to change the ranges at all? Or have I missed some other factor in place?

Random thought...

If you are in the BU and 6 players have folded to you then the "concentration" of Aces, Kings and possibly Queens is likely higher. AQ+ KQ+ are going to bet before you.

Unless you have blockers to those cards, expect some to be in SB BB.

Just sayin'

--VS

I just made a script confirming this (100 000 tries). The script gives each player (9 players) two random cards and uses the pokerstrategy.com beginners preflop hand chart to decide whether to join the pot or fold. If 6 players fold and you don't take the dealers hand into consideration the stats are:

__Script results__
Probability that blinds have at least one ace or king when folded to: 50.301155787075 %

Probability that blinds have at least one ace or king when at least one opponent joined pot: 49.266269121079 %

__Independent probability that blinds together have at least one ace or king__
This situation would apply to when there are only three people at the table.

There are 4 kings and 4 aces. 4+4=8.

The probability of a card being ace or king is 8/52 = 0.1538

The probability of a card not being ace or king = 1-0.1538 = 0.8462

The probability of a hand not having at least one ace or king = 0.8462 * 0.8462 = 0,7159

The probability of two hands not having at least one ace or king = 0,7159*0,7159 = 0.5126

The probability of two hands having at least one ace or king = 1 - 0.5126 = 0.4874 = 48,74 %

There is a difference but it is not big. What I see is that some people change their preflop ranges dramatically depending on how many people are playing. Are these changes logical considering the probability of aces and kings is almost exactly the same regardless of amount of players at table and how many players fold or not.