Range chart

BuzzKillington

BuzzKillington

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Hey everyone. I made a range chart based on pre-flop hand equities vs any random hand. The numbers are the relative ranking, so AA = 1% (because it is in the top 1% of your range), and KK = 2% (because it is in the top 2% of your range), etc.

Does this make sense? I wrote a custom Python script, which calls an external equity calculator, to get these numbers and generate the table for me.

Do I need to make any improvements? I feel that some pocket pairs may be too high, but then again the equity calculator based this on thousands of simulations, so I guess it does make some sense?

(BTW. hands that are above the diagonal resemble suited hands, while those below the diagonal resemble unsuited hands.)
 

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UncleConRon

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My Opinion

I like the enginuity of the chart. However some hands seem to defy the odds. One of the hands is a pair of queens. Other hands include lower pairs. It seems they get beat by slick a lot. You should look into modifying the chart to a plus minus ratio. Trips hit a third of time pre-flop. So when you on the plus ratio of hitting trips the percentage should be better.
 
BuzzKillington

BuzzKillington

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I like the enginuity of the chart. However some hands seem to defy the odds. One of the hands is a pair of queens. Other hands include lower pairs. It seems they get beat by slick a lot. You should look into modifying the chart to a plus minus ratio. Trips hit a third of time pre-flop. So when you on the plus ratio of hitting trips the percentage should be better.
Thanks for the reply.

How does QQ defy the odds? Note that we are talking about ranges here. If I define my range as 20% for a given position, then I simply need to fold every hand that is above that percentage when I have that position. The fact that KK and QQ both share 2% simply means that they are close together. It is a rounding issue.

The simulations should account for the fact that these hands sometimes have bad beats, such as sets or trips from opponents, etc.

I am not really sure what you mean by the "plus-minus ratio". Could you elaborate on that?
 
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AlexTheOwl

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ATs ranks higher than AJs?

The values appear to be based on multi-way play? This is fine as long as you realize that heads-up, hands have different values. For example, 72o has higher equity than 62o heads-up, but the reverse is true against two random hands.

What is the practical application of the chart?
 
BuzzKillington

BuzzKillington

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ATs ranks higher than AJs?
I guess it's a small statistical error.

The values appear to be based on multi-way play? This is fine as long as you realize that heads-up, hands have different values. For example, 72o has higher equity than 62o heads-up, but the reverse is true against two random hands.
No, it's based on heads-up play.

What is the practical application of the chart?
To determine whether I should play a set of cards, whether it sort of falls within my range or not. Sometimes I'm way off and it helps me to fold bad hands pre-flop. Nothing more actually.
 
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AlexTheOwl

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No, it's based on heads-up play.

Aside from AJs / ATs and 72o / 62o, 73o / 63o is an error. I haven't examined for others.

I can see some value in this as an exercise. But be aware that hand values change depending on circumstances. We mentioned multi-way as one example. Facing a narrow range is another common circumstance for this.

For example, A2o is rated 35th on your chart, and and 23s is 96th, near the bottom.

What happens when you use an equity calculator to find the equity of A2o and 23s each separately heads-up against the top 5% of hands {TT+,AQs+,AQo+}?
 
BuzzKillington

BuzzKillington

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Aside from AJs / ATs and 72o / 62o, 73o / 63o is an error. I haven't examined for others.

I can see some value in this as an exercise. But be aware that hand values change depending on circumstances. We mentioned multi-way as one example. Facing a narrow range is another common circumstance for this.
Yes. I know this. It's easy to forget though. I use heads-up as a baseline and I tend to subtract 10% of my equity for every villain beyond the first one.

For example, A2o is rated 35th on your chart, and and 23s is 96th, near the bottom.

What happens when you use an equity calculator to find the equity of A2o and 23s each separately heads-up against the top 5% of hands {TT+,AQs+,AQo+}?
Around 26% for A2o and 28% for 23s. I see what you mean. Perhaps I should have a different chart for nits and tight players, heh.
 
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AlexTheOwl

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Yes. I know this. It's easy to forget though. I use heads-up as a baseline and I tend to subtract 10% of my equity for every villain beyond the first one.

Each additional opponent reduces the equity of any hand less than the additional opponent before him did. Otherwise, using your rule, 54s would have negative equity against four opponents.

10% subtracted is not a bad guideline for a third opponent in the hand, though the actual number will vary by pocket cards.

Suited connectors love multi-way pots. Unsuited high cards do not.

54s vs. top 30% of hands:
Heads-up: 38%
Against 3 opponents: 24%
14% difference

AKo vs top 30% of hands:
Heads-up: 63%
Against 3 opponents: 31%
32% difference

AKo loses more than twice as much equity.

I'm using this site for these calculations:
http://www.propokertools.com/simulations
 
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Supmargy

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Hey! Nice graph! I like it because it makes it easy to see what hands would be fitting in a certain vpip/pfr stat.

I do wonder whethter A5 and A6 (both suited and off suit) shouldnt be reversed. Because a5 is typically considered slightly stronger because of straights. Im not 100% sure though
 
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