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G Baade
09-18-2004, 07:52 PM
What are the odds of 4 of a kind coming on the flop and turn?


Flop Q /images/graemlins/spade.gif Q /images/graemlins/diamond.gif Q /images/graemlins/heart.gif

Turn Q /images/graemlins/club.gif


For that matter what are the odds of any quads coming that way?


Finally, have you ever seen this happen?


Thanks

uuDevil
09-18-2004, 08:42 PM
[ QUOTE ]
What are the odds of 4 of a kind coming on the flop and turn?


Flop Q /images/graemlins/spade.gif Q /images/graemlins/diamond.gif Q /images/graemlins/heart.gif

Turn Q /images/graemlins/club.gif


[/ QUOTE ]
If the order doesn't matter,

one way: 1/C(52,4)=3.69379E-6
or another way: (4/52)*(3/51)*(2/50)*(1/49)=3.69379E-6

This equivalent to odds of 270724:1.

[ QUOTE ]

For that matter what are the odds of any quads coming that way?

[/ QUOTE ]

I think since there are 13 ranks and these are mutually exclusive events, we can just add the probabilities, which are all the same, so it's just 13*3.69379E-6,
which is odds of 20824:1.

[ QUOTE ]

Finally, have you ever seen this happen?


[/ QUOTE ]

Yes, with K's. I had the only A. /images/graemlins/laugh.gif

Edit: the inevitable typo.

CitricAcid13
09-19-2004, 08:27 PM
I've seen it with Aces by the turn. I had a king and won the pot outright /images/graemlins/cool.gif

siccjay
09-20-2004, 06:44 AM
This happened at a NL table one time. Flop came KKKKA 4 players at the river one guy bet out a dollar I pushed 1 called and 2 folded (including the original better) LMAO

Scotch
09-20-2004, 09:22 AM
I saw it happen only last week on Royal Vegas - flop came 5-5-5 a futher 5 on the turn and then an A on the river. Some monkey then bet all-in - with the result than everyone had to call, feeding the rake! He/She left the table in a tirade of abuse.

All-In
09-20-2004, 01:13 PM
Happen to me just yesterday, well sort of. Folded J5 preflop, the flop came 3 jacks. /images/graemlins/mad.gif