by kraada » Sun Dec 04, 2011 10:09 am
I don't think so - two tone flops are the most common kind of flops there are. Let's do some math to figure out exactly how common they should be. Let's also ignore your hole cards for the moment - they will play a small role, but it'll be easier to do the math without worrying about it.
There are three cards in the flop, and the first always has some suit Let's call the first suit X.
The second card is either suit X or a different suit - call it suit Y. The board comes out XX_ 12/51 times - after the first card is dealt there are 51 cards remaining of which 12 are suit X.
The board comes out XY_ the other 39/51 times.
Now to add the river:
On the XX_ board, the river has an 11/50 chance of being X and 39/50 of being Y. Since an XX_ board comes up 12/51 times we can multiply these to get overall totals:
XXX: 12/51 * 11/50 = 132/2550 = 5.176%
XXY: 12/51 * 39/50 = 468 /2550 = 18.353%
On to the XY_ boards:
Given an XY_ board, XYX occurs 11/50 and XYY also occurs 11/50. XYZ occurs the other 28/50.
Getting totals:
XYX: 39/51 * 11/50 = 429 / 2550 = 16.824%
XYY: 39/51 * 11/50 = 429 / 2550 = 16.824%
XYZ: 39/51 * 28/50 = 1092 / 2550 = 42.824%
So totaling up the types:
Monotone = 5.176%
Two-tone = 52.001%
Rainbow = 42.824%
However, this does not take into account that you have two known cards that are of different suits. This will change the values slightly, plus you are looking at an actual sample which is always going to deviate from the ideals a little. You didn't say how big your sample was here - on a smallish sample +/- 4% does not seem that strange.
One other caveat: We know your cards but we don't know your opponents' cards who are seeing the flop with you. That will also affect the general flop texture overall. If your opponents tend to play suited cards, that will skew things a little - exactly how much would require a bunch more math so I'll leave that to you if you're curious.
But in short, those results seem within reasonable bounds given the expected results.