Flops with the same suit

AK*1

Hi Dave

Do you happen to know off hand what the percentage is of flops coming with at least 2 cards of the same suit? This came up in another thread, and I always wondered what it was. Not the odds of one specific suit, but of any of the suits?

Thanks

ScoobyD

Assuming you don't know what your hole cards are (ie. you haven't looked):

Chance of a 3 flush flop would be: 4 * 13c3 / 52c3 = 1144/22100 = 5.1765%
Chance of a 2 flush flop would be: 4 * 13c2 * 39c1 / 52c3 = 12168/22100 = 55.0588%

Thus the chance of a 2 or 3 flush flop hitting (ie not a rainbow flop) is a little over 60%. Someone correct me if my math is wrong...

AK*1

Thanks man. I thought that was the case - a slight majority of flops come with 2 of the same suit.

specialK

here is everything you need to know about flushes: http://pokerforum.ca/forum/index.php?topic=6710.0

Dave Scharf

What he said...

In other words, I didn't know. Until now.