Odds of 2 flopped flushes

[SirJoker]

I had K7s in the SB and called with 3 others in, and UTG guy had AXs 3 diamonds came on the flop, needless to say that pot was expensive, whats the odds of an Ace high flush being flopped and a King High on the same board ? Thanks

[Cobra]

I will answer the question that assuming you have a king high flush on the flop whats the chance of someone being dealt an ace high flush.

There are 47 unseen cards, 8 of the suit in question and 39 other cards. The total combinations of suited cards that have the ace in them is 7.

Probability that one person was dealt this combination is
7/(47 choose 2)=.65%

Now assuming a table of 10 the probability that one of your nine opponents was dealt this is 9*.65=5.8%

Since only one person could be dealt a combo with your ace you are done. It turns out that the formula for this would be n*.65% were n is number of opponents.

Cobra

[Dead]

And it will happen far less often than 5.8% because Axs is not profitable to play in all hands.

[franco]

what are the odds that two players will have a flush at the showdown. nine players start the hand.

thanks

[NiceCatch]

How about 3 flopped flushes? Get this. I was playing 3-handed No-Limit HE. ALL THREE OF US flopped the diamond flush. Interestingly, the turn paired the board, so no one lost their shirt.