This is not a large stack. Always know your maneuverability with various stack sizes. For instance with less than 10bbs you can only push or fold. When you are in the 15bb vicinity you have reraise fold equity, meaning that when someone opens for a raise that you still have the ability to make them fold their marginal or junk hands with a shove. Even 12bbs may not be enough to force a player to fold to a 3-bet (on avg), especially if antes are in play but 15bbs is in the neighborhood of having reraise fold equity. So with 15-20bb stacks you are looking for spots to reship or open/shove. I tend to hate open/shipping more than 17 or 18bbs at all, but if I am it's going to be from late position. With 30bb stacks you are in the neighborhood of having 4bet fold equity (i.e. open for 3, reraise to 9, ship for 30). With 40bb - 60bb stack you can set mine against a 3xbb raise, since you need (actual odds are 2/50 + 2/49 + 2/48 = 6/49 or 8.2:1) in the neighborhood of 15:1 implied odds in position and 20:1 out of position. Why 15:1 & 20:1 when the immediate odds you need are 8.2:1? The reason is that when you hit your set, a) you do not always get your implied odds payed off because villain doesn't always put more money into the pot b) you lose to a higher set c) you lose to a straight or flush (either flopped or drawing). There are a lot of pros that when they are playing these deep stacked events that will not set mine without at least 30:1 implied odds. My guess is that they use such a high ratio because they are playing against a lot higher level of players that aren't necessarily going broke with an over pair (they can actually fold), so the implied odds are lessened.
Also, there is no way you knew you would be in a coin flip, you can only make the best possible play available to you. In freerolls your fold equity is more limited, so you shouldn't be pushing as wide or as deep. Additionally when you have deeper stacks, you can open for 2.5x allowing you to steal with marginal or junk hands and fold to a reraise and keep the losses cheap. This also means that if you are opening for 2.5x with junk that you need to use the same raise size with your premiums also.
15:1 and 20:1 are for my TAG style of game, because when you play back or call after the flop, players are less likely to believe a tight player is making a move which means they are less likely to get stacked by bluffing their AK or pushing hard with their over pair. Now if you have a LAG image then 12:1 (maybe 14:1 is better, always better to err on the side of caution) may be sufficient enough. It also depends on what stakes you play at. At high levels, especially cash games, 15:1 and 20:1 are a lot more necessary, especially for a TAG. At micro levels a TAG can probably use 15:1 and a LAG 12:1 (always keeping in mind the likelihood of your opponent stacking off either with a bluff or with an over pair). These are all round about approximations (through numerous discussions and threads on multiple forums, Poker Dynasty, 2+2) and based upon a little bit of common sense, however I have read in either HOH or some other book that in deep stacked events that some of the pros won't actually set mine without 30:1 implied odds (if anyone recalls the source please feel free to post).
I really think 10:1 is too loose even for the LAGgiest of players (see alot of 2+2 posts where they feel the same about 10:1) and 12:1 is probably closer for the LAGgiest, most especially at mid to higher buyins (LAG = players won't believe them when they hit their set and lower buyin = players can't fold their own cards with tptk or over pair). It is my belief that the LAG's that play the higher stakes are overestimating their profitability in these situations. 10:1 is close to saying that villain will stack off every time against your flopped set (keep in mind even the texture of the flop will scare villain away when the flop is AK4 and you flop your 44, he is not going broke with QQ). There are too many scenarios of flops and aggressiveness and image to know what is precisely the correct #. Use reasonable judgement and make sure you use a differential for when you are out of position.
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