4 Queens????????

[G Baade]

What are the odds of 4 of a kind coming on the flop and turn?


Flop Q [img]/images/graemlins/spade.gif[/img] Q [img]/images/graemlins/diamond.gif[/img] Q [img]/images/graemlins/heart.gif[/img]

Turn Q [img]/images/graemlins/club.gif[/img]


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


Finally, have you ever seen this happen?


Thanks

[uuDevil]

[ QUOTE ]
What are the odds of 4 of a kind coming on the flop and turn?


Flop Q [img]/images/graemlins/spade.gif[/img] Q [img]/images/graemlins/diamond.gif[/img] Q [img]/images/graemlins/heart.gif[/img]

Turn Q [img]/images/graemlins/club.gif[/img]


[/ 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. [img]/images/graemlins/laugh.gif[/img]

Edit: the inevitable typo.

[CitricAcid13]

I've seen it with Aces by the turn. I had a king and won the pot outright [img]/images/graemlins/cool.gif[/img]

[siccjay]

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]

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]

Happen to me just yesterday, well sort of. Folded J5 preflop, the flop came 3 jacks. [img]/images/graemlins/mad.gif[/img]