I'm trying to determine the probability of relevant flop types. I have classified flops into the following 6 categories (the number of relevant different flops is listed also)

trips: 13
paired, rainbow: 156
paired, 2 flush: 156
unpaired, rainbow: 286
unpaired, 2 flush: 858
unpaired, monotone: 286

1,755 relevant flops

Not sure if relevant is the correct term, but what I mean is that the paired rainbow flop of AAK is no different contextually than AAK

What I'm trying to do is to adjust my numbers to account for the multiple contextually same flops to account for the total of 22,100 flops.

This may help.

http://www.spadebidder.com/flop-analysis/part4/

The calculations shown use permutations for simplicity, but just divide by 6 for the number of combos (each of the 22100 flops has 6 permutations, or possible orderings).

All of your numbers shown are too low for the combo counts. For example, with triplet flops you have 13 ranks times 4 ways to combine suits = 52 combos. Then 52/22100 is your probability for a triplet flop.

That's just what I was looking for. Thanks!

This is a little more direct answer than Spadebidder's response

{Spade - where you been?}

Trips: C(4,1) = 4 ways per trip (the 4 possible suits)
Paired, rainbow: C(4,2)*2 = 12 (AcAd 4s, AcAd 4h etc.)
Paired; two flush: C(4,2)*2 = 12 (AcAd 4c, AcAd 4d, etc.)
Unpaired, rainbow: 4*3*2 = 24 (AcKdQs, AcKdQh, etc.)
Unpaired, two flush: C(4,1)*3 = 12 (AcKcQd, AcKcQh, etc.)
Unpaired, monotone: C(4,1) =4 (AcKcQc, AdKdQd, etc.)

Multiplying these results by the quantities you showed totals to 22,100.

You meant C(4,3).
Same value, but it's the correct representation for choosing 3 of 4 suits to make a trips.

Lurking.

Yeah, but in defense of my way, C(4,1) is the number of ways to choose the suit that is not in the trips - so the right result was not totally fortuitous .

Maybe OP is interested in this http://forumserver.twoplustwo.com/sh...6&postcount=31

which is based on spadebidder's flop categories and how "stable" they are, i.e., count how often a hand with >= 50% equity on the flop loses the hand by the river for each flop category.