Three people flopping a flush... what are the odds?

Hi again,

that one ist more for entertainment value than for serious analysis maybe... three people flopping a flush in a 6max game. What are the odds for this? Any math wiz around?

$25 NL Texas Hold'em - Friday, August 19, 15:13:50 EDT 2005
Table Table 36911 (6 max) (Real Money)
Seat 6 is the button
Total number of players : 6
Seat 2: svaas ( $32 )
Seat 4: The_Dude ( $22.80 )
Seat 5: luckydw ( $16.35 )
Seat 6: J0hnny_ ( $25.90 )
Seat 3: jbw1120 ( $16.41 )
Seat 1: windswept70 ( $11.47 )
svaas posts small blind [$0.10].
jbw1120 posts big blind [$0.25].
** Dealing down cards **
Dealt to The_Dude [ 9c Tc ]
The_Dude calls [$0.25].
luckydw folds.
J0hnny_ calls [$0.25].
svaas calls [$0.15].
jbw1120 raises [$0.50].
The_Dude calls [$0.50].
J0hnny_ folds.
svaas calls [$0.50].
** Dealing Flop ** [ 2c, Kc, 3c ]
svaas checks.
jbw1120 bets [$1].
The_Dude raises [$3].
svaas calls [$3].
jbw1120 raises [$5].
The_Dude is all-In.
svaas is all-In.
jbw1120 is all-In.
** Dealing Turn ** [ 6s ]
** Dealing River ** [ 4h ]
jbw1120 shows [ Jc, Qc ] a flush, king high.
The_Dude shows [ 9c, Tc ] a flush, king high.
svaas shows [ 4c, Ac ] a flush, ace high.
svaas wins $9.20 from side pot #2 with a flush, ace high with ace kicker.
svaas wins $12.78 from side pot #1 with a flush, ace high with ace kicker.
svaas wins $47.48 from the main pot with a flush, ace high with ace kicker.

that stinks, so unlucky.
At least you can be satisfied they were all playing genuine suited connectors not something like K4 suited.
Still sucks.

(but then he did mini raise QJ hmmmmmm)

I'm not quite sure how to calculate the odds of it when there are 6 people in the game, but if it were just the three of you playing then it works out to be..

{ [ (13/52) * (12/51) ] * [ (11/50) * (10/49) ] * [ (9/48) * (8/47) ] } * [ (7/46) * (6/45) * (5/44) ] = 1/5,145,560

Feel free to correct me if my maths is wrong but those odds are insane.

Originally Posted by Godlike.

I'm not quite sure how to calculate the odds of it when there are 6 people in the game, but if it were just the three of you playing then it works out to be..

{ [ (13/52) * (12/51) ] * [ (11/50) * (10/49) ] * [ (9/48) * (8/47) ] } * [ (7/46) * (6/45) * (5/44) ] = 1/5,145,560

Feel free to correct me if my maths is wrong but those odds are insane.

I was just about to correct you when I sneezed, and lost my place in the equation. I think I took a wrong turn at Albuquerque anyway...

{ [ (13/52) * (12/51) ] * [ Albuquerque * (11/50) * (10/49) ] * [ (9/48) * (8/47) ] } * [ (7/46) * (6/45) * (5/44) ] = Banana Smoothy

My default position is therefore that you are the supreme math ruler of the world, and I used the word banana inappropriately.

Originally Posted by Godlike.

I'm not quite sure how to calculate the odds of it when there are 6 people in the game, but if it were just the three of you playing then it works out to be..

{ [ (13/52) * (12/51) ] * [ (11/50) * (10/49) ] * [ (9/48) * (8/47) ] } * [ (7/46) * (6/45) * (5/44) ] = 1/5,145,560

Feel free to correct me if my maths is wrong but those odds are insane.

This is close but your first number is wrong. Starting with 13/52 will only give you the odds that all 3 players flop a flush of a particular suit...The odds that 3 players will flop a flush of any suit if only 3 players are in the hand is your equation multiplied by 4.