Hand vs. range equity estimation when calling ALL-INs preflop.

[PrDvGatach]

How do you figure out equity of your hand vs. villain range, when you are considering whether call all in preflop.Is there any formula how to count it quickly at the table or it is something what you need to practice with solvers a lot until it become second nature.Or is there any method, which use combinations of both,something like:you learn equity of some specific hands vs. specific ranges and then substract or add some percents based on how your hand and opponent range differs, for exemple you know that TT has 52% vs 20% range
(22+,ATs+,KTs+,QTs+,JTs,T9s,98s,87s,76s,65s,54s,43s,ATo+,KTo+,QTo+,JTo),so when you estimate eguity of 55 vs. 30% range you take 52%-x%(because 55 are weaker than 77)+y%(becasue villain range is 10% wider than 20% range). Thanks for answers.

 

[c0rnBr34d]

I don't think there's any easy way to estimate this math in your head. I think this comes down to off table study. If you're a tournament player it's more useful to know ranges down to 55. But for cash games where stacks are usually deeper I don't think it's that important to know each hands equity against each range. I would suggest memorizing 77, and TT+ against a 30%, 20%, 10%, and 5% range. Then you can estimate inbetween. You can use free sites or tools to get the equities. For your example and for fun here are a few equities for comparison.
Hand vs Rang - Hero Equity
=====================
55 vs 30% - 50%
77 vs 30% - 54%
99 vs 30% - 59.5%
TT vs 30% - 64%
JJ vs 30% - 67.5%
QQ vs 30% - 71.5%
KK vs 30% - 76.5%
AA vs 30% - 85%

Repeating this against a top 10% range instead:

55 vs 10% - 40.5%
77 vs 10% - 42%
99 vs 10% - 48.5%
TT vs 10% - 53%
JJ vs 10% - 58%
QQ vs 10% - 65%
KK vs 10% - 73%
AA vs 10% - 84.5%

As you can see, you're not giving yourself any edge with 55 vs 30%. Basically flipping a coin for stacks or even a 1-2% underdog depending on which sim you use. If you're playing 10 BB in a tournament though and there are blinds and antes in the pot you'll have to take the flip sometimes. If you're playing cash, even waiting for 77 vs 30% gives you at least a 10% edge (55/45). It's ultimately up to you how much of an edge you want to gamble with your stack. As you can see no hand is even 90% pre flop so even with AA you wont win them all. You can also see against a much tighter player, hands that had an edge against 30% are now losing vs a 10% range. 99 for example was a large 60/40 favorite against the wider 30% range but is a slight underdog vs 10%.

 

[diego farfan]

the truth is not a formula is only in the study of the behavior of your ribal if it is aggressive and calm when playing depending on that you must value the range of your hand in relation to get the most out of it

 

[Elef]

You don't need 50% to call?

A way to deal with such decisions is to first estimate the minimum equity needed to call. You do not need 50% equity to profitably call as the pot is offering higher pot equity. Then, you can estimate if your hand has enough equity against your opponent's presumed range of hands to see if it passes this threshold.

This means that when you are considering calling an all-in, you have to see if the pot is offering good enough pot odds. If so, you are in a way pot committed and calling is mathematically profitable.

To find the minimum equity that is necessary, you must divide the amount needed to call the all-in by the amount of the final pot when you call (with your call included). This, as a percentage, can be considered as the minimum required equity. If your hand has more equity against your opponent's range, then you should call.

Below are two tables for two opponent's all-in ranges in a heads-up situation. A tight range of 10%, and a loose of 40%.

Against the tight 10% range

% of stack committed -- min. equity -- hands that are committed
=================================================

50% -- 25% -- 98% of hands (all except 72o, 62o)
40% -- 30% -- 54% of hands (22+, Ax, Kx, Q8+, Qxs, J9+, J4s+, T8+, T5s+, 98+, 95s+, 87+, 84s+, 74s+, 64s+, 53s+, 43s)
30% -- 35% -- 21% of hands (22+, A9+, Axs, KT+, K7s+, QJ, Q9s+, JTs, T9s)
20% -- 40% -- 8% of hands (66+, AJ+, ATs+, KJs+)

Against the loose 40% range

% of stack committed -- min. equity -- hands that are committed
=================================================
50% -- 25% -- all hands
40% -- 30% -- 99% of hands (all exept 72o)
30% -- 35% -- 68% of hands (22+, Ax, Kx, Qx, J5+, Jxs, T6+, Txs, 97+, 95s+, 87, 84s+, 76, 74s+, 63s+, 53s+, 43s)
20% -- 40% -- 42% of hands (22+, Ax, K4+, Kxs, Q8+, Q4s+, J9+, J7s+, T7s+, 98s)

If you learn these as a baseline you will be able to adapt accordingly to most situations. I hope this helps.

You can find these tables in the tutorial on pot commitment that also has some preflop examples here.