Most common flops exhaustive list

Aren't all flops equally likely?
Strategically identical boards are ones where you change the suits, so it'd just mean there's 4 strategically identical mono flops for each strategically different one, for instance. In that sense, there would be more combos of rainbow boards than mono boards.

If you mean practically different board categories like: Disconnected A high, low paired, etc... it's very subjective, but higher boards are way more likely than low ones, two tone is the most common suit type...

So we don't get lost in semantics, what I'm trying to get is this:

There are 1,755 strategically different flops. That is, counting AdKd5d and AhKh5h as one.

But if monotone flops are less likely than rainbow, then AK5 rainbow should be higher on the frequency list than AK5 monotone.

For unpaired flops, there's 1 mono, 1 rainbow and 3 two-tone.

Mono: A♣K♣5♣ = A♥K♥5♥ etc.

Rainbow: A♣K♥5♠ = A♥K♠5♣ etc.

Two-tone:
A♣K♦5♣
A♣K♣5♦
A♦K♣5♣

But paired and tripled flops can't be mono, and tripled flops can't be two-tone.

Then your frequency list is just rainbow flops first in any order and mono boards last in any order, there's not much more to it. Should be possible to get this list off of chatgpt or sounds like a trivial thing to script

I think the question is "why would anyone want this".

No, there are more two-tone flops.

This is what I get:

Mono: 286 (16.3%)
Rainbow: 455 (25.9%)
Two-tone: 1014 (57.8%)

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For all possible flops, this seems to be the answer:

Are you sure? Aren't A high flops more common than T high flops?

Wouldn't us then have for example A high rainbow unpaired flops on a higher position than say T high rainbow unpaired flops?

A high flops are more common thatn T high flops, but not because an A is more likely to come than a T, but because of how the word "high" works. It just means out of the 3 cards on flop the T is the highest, which excludes a lot of boards with a T in them, which doesn't happen for the A

A high flops are more common than 7 high flops, but A74r is exactly as common as 742r

There are more twotone flops, but each strategically different rainbow flop is more common than each twotone flop

Thanks man I see it now.

Do you mentally have this?

Top of the list any rainbow flop any order.

Middle of the list any twotone flop any order.

Bottom of the list any monotone flop any order.

Or would pairedness come into play too for the frequency order?

Put it this way, if the board has a 9d already, the next card being a 9h or an Ah is exactly as likely

Great thanks!

What are you going to do with this information?

Specific boards can come in one of three possible frequencies without taking into account any blocker effects and what not.

4/22,100

12/22,100

24/22,100

I don't know what you're interested in if not subsets.

I was just curious, but thanks to the help with it I understand better now the helpfulness of subsets.

Thanks!

I was curious about it, but thanks to the help with it I understand better now the helpfulness of subsets.