PDA

View Full Version : Probibitlity of Three PPL having a flush


jzpiano14
02-07-2005, 03:24 AM
This has happened to me on more than one occasion where I had a flush usually with a suited connecter, and two other ppl also have the same flush, most of the time I lose these and it is pretty frustrating, I'm just wondering what are the chance of three ppl having the same flush?

HesseJam
02-07-2005, 04:51 AM
[ QUOTE ]
This has happened to me on more than one occasion where I had a flush usually with a suited connecter, and two other ppl also have the same flush, most of the time I lose these and it is pretty frustrating, I'm just wondering what are the chance of three ppl having the same flush?

[/ QUOTE ]

10 ring game, all suited hands stay to the show down, 3 hands hit flush with SUITED hands (ie., flushes with 4 community cards do not count):

(13/52*12/51)*(11/50*10/49)*(9/48*8/47)*120(ways the three suited hands are distributed over 10 hands) * 4 (flush colours) * (7/46*6/45*5/44 (3 community cards hit the suits)) * 10 (ways these are distributed over the community cards) = 0,09 % or every 1071 games.

Now, this does not say that YOU are among the flush holders. If you also allow 4 suited community cards and one card flushes the probability goes up.

HesseJam
02-07-2005, 05:00 AM
Every time you start with suited hands you expect that

a) at least two others have the same suits and
b) that the flushes will be hit

to happen every 840 times.

In total, with all your starting hands, this will happen to you every 3573 games (provided evrybody stays until show down)

jzpiano14
02-07-2005, 11:35 AM
Thanks alot, its happened to me more than that....so maybe it won't happen for a LONG time now. Yes I did mean only three of a suit on the board. Thanks