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 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.
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