| Posted by: smokinbandito12 at September 30, 2007, 6:47 am | | Topic: (Odds) Flush vs. Overflush Forum: Card Chat |
hey thanks for running the numbers on this i always wonder about odds like this but im numerically chalenged (I'm an english major)
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| Posted by: maltz at September 28, 2007, 2:13 am | | Topic: (Odds) Flush vs. Overflush Forum: Card Chat |
This is my true story not ery long ago.
My hole cards were Kd 4d in SB. By turn, there were three diamonds on board. Happy with my K-high flush, I raised 1/2 pot and some other guy reraised all in all of a sudden. I called to see his Ad Qd... DOH! (Good it is not real money.)
Case K-High: King-high flush runs into Ace-high flush
There are at least 3 suited cards on the board. Maybe 4, maybe 5.
We have to list them all.
- 3 suited cards on board (no Ace):
You hold 2. There are 7 non-Ace cards left.
Therefore, there are 7 kinds of A-high flush out there.
Total possibility of hole cards = 1225
In a field of 9 opponent, none of them has A-high flush: (1-7/1225)^9 = 0.9497
Therefore, chance of bumping into A-high flush = 1-0.9497 = 0.0503 (1 in 20)
To summarize: (3/4/5 flush cards on board)
9 opponents: 1 in 20/23/28
7 opponents: 1 in 25/30/35 <-- This is what happened to me!
5 opponents: 1 in 35/41/49
3 opponents: 1... | | Read Entire Entry |
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