This is a discussion on Equity calculation power of 4 and 2 within the online poker forums, in the Cash Games section; Hi, i get the power of 4 and 2, multiply by 4 by your out if you have 2 cards to come or multiply by 2 

Equity calculation power of 4 and 2 
#1




Equity calculation power of 4 and 2
Hi,
i get the power of 4 and 2, multiply by 4 by your out if you have 2 cards to come or multiply by 2 if you have 1 card to come. Is there any shortcut to calculate if we need runner runner for straight or flush draw? i mean if i have AdKd on a 7d6s3c board what is my odd to hit a nut diamond flush? Thanks Arun
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#2




Don't know the odds, but I get plenty of suck outs against me by those runner runner hands so they are not that uncommon.
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#3




4 and 2 I specialy don't play.The equity is not good for me.
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#4




Think mathematically. To hit a backdoor flush draw, you need the turn to be a diamond, and the river to be another diamond. On the flop, 5 cards are visible, 3 of them diamonds. That means there's 10 diamonds left, 47 cards left (You don't take into account the other players folded cards, as the probabilities would be the exact same as how we're doing it, but much more complicated).
The probability of event A (diamond of turn) and event B (diamond on river) aren't mutually exclusive. If event A happens, it affects the probability of event B. p(A) and p(B) = (10/47) * (9/46) = 0.0416, so about 4%. When it comes to multiplying your outs by 8 to get your equity on the flop and multiplying your outs by 4 to get your equity on the river, that's just a close approximation. Yes, backdoor straight and backdoor flush draws increase your equity by a couple percentages, but it's not as simple as adding up the probabilities. It's quite advanced.
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#5




re: Poker & Equity calculation power of 4 and 2
Thanks!
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#6




Simplistically, if you need EITHER the turn OR river, then you can ADD these two percentages together. If you need BOTH the turn AND river, then you can MULTIPLY these two percentages together. A word of caution regarding terminology used in this thread. These calculations are giving you the percentage of time you will catch the card you are seeking. This is not the same as your equity in the hand. Your actual equity in the hand is the percent chance you will WIN the hand. You may lose even if you catch your cards. You may pair up and win the hand as well. Equity is a much more complex discussion than just calculating outs.
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#7




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#8




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#9




yeah, that is a serious drawback playing online. You do not have a lot of time to be working out all the numbers and all the possibilities. Over time, most of these situations will repeat themselves and you will have a better "feeling" about what to do. The best thing you can do to help your situation is to try and do as much of your thinking before you are on the clock, so that you already have an idea of your action before you get there. Obviously, this isn't always possible, but if you are multitabling or distracted by other things, then you really do have a limited time to make your decisions.
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#10




re: Poker & Equity calculation power of 4 and 2
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#11




I can try...lol  I will stick with the simplified 2x and 4x method from this thread Let's say you have ThJh, and the flop is 8c9s5h.
Using Equilab, against a single opponent who generally plays top 25% of starting combos, your equity in this situation is 45%. This means you are not favored to win this hand, even with all these outs. Of course this is why we calculate pot odds to help with our decisions. If the question was how can we estimate actual equity in real time, well... how much space do we have?? there are probably much better sources than me for this, but here is an uber simplistic stab at it. (I would generally make 2 assessments and then attempt to merge the results  one assessment assuming I am ahead, and another assuming I am behind).
Back to my original point being made here that % chance of improving your hand is different than hand equity. It takes a lot of words to explain the thought process, but with some practice it can be done. You are only trying to approximate all of this, not to do these calculations to the 2nd decimal point. + 5% is enough to help with your decision. Did I answer the question?? or did I completely miss the whole thing?? Sorry for being so verbose here, but this is really only scratching the surface of the subject. I hope I did it justice.
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#12




I would like to be able to apply the principles described to different board textures, and I don't think I'm getting all of the concepts. This post really has me thinking now.
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#13




Sorry about that. I started to keep it simple and it got away from me  I actually screwed up on the straight analysis above (I was trying to describe a bad situation where we hit the idiot end of a straight and get beat by a bigger straight, but my specific example does not allow this  T9 with a JQX board may not want to make his straight with the K is the example i should have used).
The real message is still  "% chances of hitting the cards you want to see, is not the same as your equity in the hand". The best way to visualize this point is by using one of the many Poker Odds calculators out there. Start simply with an AK that misses the flop, you can figure out what your odds are of catching an A or K on turn/river and compare that to your equity of winning the hand  they are very different numbers.
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#14




Thanks for all of the info. I use Equilab and I'm pretty happy with that one.
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