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09-19-2005, 09:00 PM
2 Royal Flushes in 1200 hands

Whats the odds on that happening?

SlyGuy
09-20-2005, 02:14 AM
2 weeks ago in a live 4/8 game I was playing, 2 Royals and 2 straight flushes in about 4 hours ( 110ish hands ) at the table.

09-20-2005, 05:11 AM
Holy Cow. Will you teach me how to play like that?

LetYouDown
09-20-2005, 09:00 AM
Odds of having a royal on a given hand:

[4 * C(47,2)]/C(52,7) = 4324/133784560 = .00323%

Odds of having exactly two in 1200 hands:
=BINOMDIST(2,1200,4324/133784560,FALSE) = 0.0722959%

Correct me if I'm wrong, it's been known to happen =).

LetYouDown
09-20-2005, 09:38 AM
...and I believe two or more is extremely close at:

=BINOMDIST(1198,1200,133780236/133784560,TRUE) = 0.0732381%

SlyGuy
09-21-2005, 12:16 PM
It wasn't me, just at the table. So it's not quite as cool.