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Odds of a flush on an Omaha board? Odds of a flush on an Omaha board?

03-13-2017 , 11:20 AM
What are the odds of any flush being out there on an Omaha board? In other words, any three or more of a suit?
Odds of a flush on an Omaha board? Quote
03-13-2017 , 02:37 PM
If you’re asking for the chance of at least 3 cards of the same suit on a five card board, without any reference to player holdings, it is

=4*(COMBIN(13,3)*COMBIN(39,2)+COMBIN(13,4)*39+COMB IN(13,5))/COMBIN(52,5)= 37.1%.

This applies to both hold’em and Omaha.
Odds of a flush on an Omaha board? Quote
03-16-2017 , 11:31 AM
Quote:
Originally Posted by statmanhal
If you’re asking for the chance of at least 3 cards of the same suit on a five card board, without any reference to player holdings, it is

=4*(COMBIN(13,3)*COMBIN(39,2)+COMBIN(13,4)*39+COMB IN(13,5))/COMBIN(52,5)= 37.1%.

This applies to both hold’em and Omaha.
My combinatorics is a little rusty, can you explain why the numerator is multiplied by four?
Odds of a flush on an Omaha board? Quote
03-16-2017 , 11:48 AM
4 suits
Odds of a flush on an Omaha board? Quote
03-16-2017 , 11:51 AM
Quote:
Originally Posted by heehaww
4 suits
Thank you.
Odds of a flush on an Omaha board? Quote

      
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