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Discussion thread: Ranges and Equity

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In Q6, I am confused, in my calculation, the required equity is 29% and not 45%. But the answer is the same (call).


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In Q5, the required equity is 22%. I can't figure how the opponent's range is 23%.


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elizabethhong115
Joined: 02.05.2016

Why equity only matters on river bet and all-in?

Equity sounds like a powerful tool. Why not also use it in other situations, like flop, turn, or non-all-in bet?


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Lesson 2: Combos And Card Removal Quiz

(A) (7) (4) board

Why would you count (6)(5) for an open end straight draw but (5)(3) not?
To me it is the same.


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Lazza61
Joined: 23.03.2011

Originally posted by Rudiguay
Lesson 2: Combos And Card Removal Quiz

(A) (7) (4) board

Why would you count (6)(5) for an open end straight draw but (5)(3) not?
To me it is the same.

5x3 only gives you a gutshot draw i.e you must hit a 6 to hit your straight. 6x5 gives you an open ender as you can complete your straight with either a 3 or a 8.

Regards

Laz


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RedHeater
Joined: 08.10.2010

Originally posted by elizabethhong115
Why equity only matters on river bet and all-in?

Equity sounds like a powerful tool. Why not also use it in other situations, like flop, turn, or non-all-in bet?

I confess I haven't been through this material, but speaking in general equity definitely is a useful concept in other situations. Just be aware that equity that you have on earlier streets will often not be realised. Lets say you defend BB from a CO raise with 5s6s. The flop comes AhKh5h. Your pair gives you a chunk of equity but the river is a long way away, and it is going be difficult to realise that equity. An all-in on the river is a much more straightforward situation equity-wise.


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Lazza61
Joined: 23.03.2011

Originally posted by RedHeater

Originally posted by elizabethhong115
Why equity only matters on river bet and all-in?

Equity sounds like a powerful tool. Why not also use it in other situations, like flop, turn, or non-all-in bet?

I confess I haven't been through this material, but speaking in general equity definitely is a useful concept in other situations. Just be aware that equity that you have on earlier streets will often not be realised. Lets say you defend BB from a CO raise with 5s6s. The flop comes AhKh5h. Your pair gives you a chunk of equity but the river is a long way away, and it is going be difficult to realise that equity. An all-in on the river is a much more straightforward situation equity-wise.

Allin equity can't be measured unless betting is over as any further betting on later streets changes your equity share.


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RedHeater
Joined: 08.10.2010

Originally posted by Lazza61

Originally posted by RedHeater

Originally posted by elizabethhong115
Why equity only matters on river bet and all-in?

Equity sounds like a powerful tool. Why not also use it in other situations, like flop, turn, or non-all-in bet?

I confess I haven't been through this material, but speaking in general equity definitely is a useful concept in other situations. Just be aware that equity that you have on earlier streets will often not be realised. Lets say you defend BB from a CO raise with 5s6s. The flop comes AhKh5h. Your pair gives you a chunk of equity but the river is a long way away, and it is going be difficult to realise that equity. An all-in on the river is a much more straightforward situation equity-wise.

Allin equity can't be measured unless betting is over as any further betting on later streets changes your equity share.

Yes I agree all-in equity cannot but I would argue its still useful to think about (transient) equity. You just need to be aware that it can change. Its a very important concept in limit holdem, where I started, as you can build pots when you have a lot of equity and not be so easily pushed off it later in the hand. Personally I think first steps for any aspiring poker player should be to get comfortable with the sort of equity your hand has on each street along with pot odds when you are facing a bet (or betting into an opponent).


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Originally posted by nickycakes
I'm having trouble understanding the correct answer to quiz question #5 in the Equity: Final Calls lesson.

When I enter the range into eqilab, I get this result:

I'm having trouble understanding where the 23% figure comes from in the answer when I'm showing 53% in equilab. Any help greatly appreciated! Thanks.

Edit: Welp, after re-reading it, I didn't pay attention to detail and didn't specify spades for the bluff combos in the range. All sorted :)

Hi!
I have the same issue but still haven't figured it out.
How did you get 23% in equilab? I tried removing bluff ranges but it's still not 23%.
Is there an option to specify which ones are bluffs?


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mim43
Joined: 08.03.2017

hi,
I am looking for a training tool to improove my combo calculation skills. Something like your quiz -generating rundom hands ...and having the right answers of course :)
thanks


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Hesticus
Joined: 24.06.2008

Originally posted by mim43
hi,
I am looking for a training tool to improove my combo calculation skills. Something like your quiz -generating rundom hands ...and having the right answers of course :)
thanks

Hi mim43 :welcome:

Try our Fold Equity training and learn counting combos. If you do these exercises for just 20 minutes a day you will have a huge advantage over your opponents at the tables.

Cheers,

Hesticus


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mim43
Joined: 08.03.2017

Thanks. I will!


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Hi,
I have a quick question about the relationship between odds vs pot odds and equity vs pot equity (referred to as required equity in the article). To me, comparing pot odds to odds is the same as comparing pot equity to equity. Equity is just much more complicated to calculate without a tool (thanks Equilab ;) and the rule of two and four is a quick shortcut that gives a good approximation based on outs. Is that correct ?


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deeeja
Joined: 26.09.2008

Wow, the more i learn, the more amazed i am about how well thought game poker is! :) I did not think in my wildest dreams that i will ever be interested in maths by myself


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Chaser42
Joined: 16.04.2022

In Q5, I can't figure out why the required equity is 29%
2/(7+2)=2/9=22%


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Filip45
Joined: 17.04.2022

👍👍


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Super Moderator
VorpalF2F
Joined: 02.09.2010

Originally posted by Chaser42
In Q5, I can't figure out why the required equity is 29%
2/(7+2)=2/9=22%

Hi Chaser42,
Welcome to PokerStrategy.com :welcome:

What Q5 do you refer to?

Can you provide a link?
Since you can't post links, just drop the :// part out and we'll figure it out

Cheers,
VS


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Harrier88
Joined: 01.05.2012

Originally posted by VorpalF2F
What Q5 do you refer to?

I think Chaser is referring to Question 5 from the Equity: Final Calls quiz.

And I think the solution says that you need 29% equity because you are supposed to bet $2 into a pot of $7, and 2/7=0.285714..., or roughly 0.29. In other words, you are not supposed to count your own bet to the pot, only your opponent's, since his bet would be won while your own bet would be merely returned.

Maybe I'm completely off on this, I haven't dealt with NL Hold'em cash equities in ages, but at least the math seems to work out.


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VorpalF2F
Joined: 02.09.2010

Thanks Harrier
In the discussion for this quiz ( https://www.pokerstrategy.com/strategy/various-poker/ranges-equity-final-calls/)
Is this Example:

Facing a river bet

$25 NL Hold'em (6 handed)
100BB Stacks

Preflop: Hero is Button with Q♣:J♣:
2 folds, CO raises to $0.75, Hero calls $0.75, 2 folds

Flop: ($1.90) Q♠:3♠:9♥: (2 players)
CO bets $1.30, Hero calls $1.30

Turn: ($4.50) 4♣: (2 players)
CO bets $3.00, Hero calls $3.00

River: ($10.50) 3♥: (2 players)
CO bets $7.00, Hero?

Step 1: Calculate the required equity

Required equity = price of calling/ (pot size + price of calling)

The price of calling is $7 and the pot size is $17.50.

Required equity = 7 / (17.50 + 7) = 7 / 24.50 ≈ 0.29 = 29% equity

In our example:
price of calling = $2.00
Pot Size = $5.00
So the required equity is 2/(5+2) = 2/7 = 0.29
In the quiz it is unclear if the $5.00 pot includes the $2 bet already or not.

The second part of the question is should you call.
Given the range in the example, here is what Equilab says:

       Equity     Win     Tie
BU     58.39%  56.37%   2.01% { AA, QQ, 33, AJs+, A7s, A3s, 54s, KsJs, KsTs, JsTs, Ks9s, Js9s, Ts9s, Ks8s, Js8s, Ts8s, 9s8s, 6s5s, AJo+ }
BB     41.61%  39.60%   2.01% { AdTd }

So a clear call against the range given
Even clearer call if you understand that the $5 pot is before the $2 bet.

Cheers,
VS


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Harrier88
Joined: 01.05.2012

Originally posted by VorpalF2F
The second part of the question is should you call.
Given the range in the example, here is what Equilab says:

       Equity     Win     Tie
BU     58.39%  56.37%   2.01% { AA, QQ, 33, AJs+, A7s, A3s, 54s, KsJs, KsTs, JsTs, Ks9s, Js9s, Ts9s, Ks8s, Js8s, Ts8s, 9s8s, 6s5s, AJo+ }
BB     41.61%  39.60%   2.01% { AdTd }

So a clear call against the range given
Even clearer call if you understand that the $5 pot is before the $2 bet.

The correct response according to the quiz is fold, though.

Looks like you just compared preflop equities, but the hand from the example is played on the river.

As the solution there says, your opponent has 36 value combos that beat you, and 11 bluff combos that you beat, thus putting your equity at around 23.4%, which is less than the required equity of 29%.


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