I noticed last night that I was seeing a huge number of two-tone flops
I had no idea what the real number should be, nor could I find it on line.
I therefore decided to figure it out.
I turns out that there are 19,600 possible flops. Order of cards is disregarded -- ie, A♦:T♠:8♥: is the same as 8♥:A♦:T♠:
I used Excel's combin(number,number_chosen) function for this, and in this case that would be C(50,3)
50 because you hold two cards, so only 50 are unknown.
It turns out that the percentages are slightly different if you hold an offsuit hand compared to the percentage when you hold a suited hand.
The results:
(hint: if this table looks really ugly, widen your browser to the mas)
Monotone Rainbow TwoSuited Total Ratio
Offsuit: 1012 7800 10788 19600 1:7.7:10.6
Suited: 1023 7774 10803 19600 1:7.6:10.5
Offsuit: 5% 40% 55%
Suited: 5% 40% 55%
Following this I checked my session, and I had 4 more 2-suited flops that the math would predict.
I'm either *extremely* perceptive or it is just another example of seeing patterns where there are none.
So it goes.
If anyone is interested in the math, let me know and I'll post it.
Peace,
VS
) level with a great negative effect.