Discussion thread: Ranges and Equity

Originally posted by Harrier88

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%.

OOPS
Board: Q:spade:3:spade:9:heart: 4:club: 3:heart:
       Equity     Win     Tie
BU     82.76%  82.76%   0.00% { AA, QQ, 33, AJs+, A7s, A3s, 54s, KsJs, KsTs, JsTs, Ks9s, Js9s, Ts9s, Ks8s, Js8s, Ts8s, 9s8s, 6s5s, AJo+ }
BB     17.24%  17.24%   0.00% { AdTd }

Originally posted by VorpalF2F
Board: Q:spade:3:spade:9:heart: 4:club: 3:heart:
       Equity     Win     Tie
BU     82.76%  82.76%   0.00% { AA, QQ, 33, AJs+, A7s, A3s, 54s, KsJs, KsTs, JsTs, Ks9s, Js9s, Ts9s, Ks8s, Js8s, Ts8s, 9s8s, 6s5s, AJo+ }
BB     17.24%  17.24%   0.00% { AdTd }

Wrong board, the board from the question is A♠:Q♥:3♠:7♣:2♣:. That must be why we're still off from the 23% equity that the solution gives us.

Does Equilab take card removal into account, btw? I expect it does.

I'm not doing very well, am I?
<sigh>

IIRC, card removal is an option, and I always have it turned on

Originally posted by VorpalF2F
I'm not doing very well, am I?
<sigh>

IIRC, card removal is an option, and I always have it turned on

Well, at least Chaser's question should now be cleared up, I hope.

And card removal would be pretty important for the sake of this quiz question, at least, as this concept was specifically taught in one of the previous lessons and is expected to be applied here.

Thank you very much for your replies!
Still, I am struggling with this question (Q5)
According to the article,
Required equity = price of calling / (pot size + price of calling)
If there is $5 in the pot, and the opponent bets $2, the pot size becomes $7. Price of calling is $2
So, the required equity is
2/(7+2)=0.23
Or am I missing something out?

Originally posted by Chaser42
Thank you very much for your replies!
Still, I am struggling with this question (Q5)
According to the article,
Required equity = price of calling / (pot size + price of calling)
If there is $5 in the pot, and the opponent bets $2, the pot size becomes $7. Price of calling is $2
So, the required equity is
2/(7+2)=0.23
Or am I missing something out?

The way the pot size in the question is presented is definitely ambiguous and could use some clarification, but after taking a closer look at Question 4 right before it, I think I have figured out the intended meaning.

Here's the situation from Q4:

And here's what the solution says:

Since you can only use the effective stack sizes for calculation, the pot size is $20 and not $41.60. If you insert these numbers into the formula the results will be:
18.40 / (20 + 18.40) = 48%

This clearly implies that the $40 that your opponent is betting there is supposed to be a part of the $41.60 pot already, with the remaining $1.60 representing dead money to be won (hence your effective stack size is $20, which is $18.40+$1.60).

If we apply the same thing to Question 5, it means that the pot including your opponent's bet is $5, and by calling $2 you would make it $7. In this case it's 2/(5+2)≈0.2857, which can be rounded up in order to arrive at 29% required equity, and the math works out.

hola