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Old 10-10-2007, 10:30 AM
eljizzle eljizzle is offline
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Default A bit out of the ordinary...

So I'm dealing a 1/2 NL cash game tonight and one of the more improbable things I've ever seen occurs and I probably wouldn't have believed it had I not seen it with my own eyes. In the course of 10.5 hours, (we'll say 350 hands) the flop brought 3 of a kind SIX TIMES. Not trips by the river, but the FLOP was all 3 of the same card. Keep in mind that the 350 hands is obviously an estimate and a flop was not seen on every hand. Any easy calculations as to the odds of this happening? Thanks
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Old 10-10-2007, 02:58 PM
sixhigh sixhigh is offline
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Default Re: A bit out of the ordinary...

<font color="#FF4444">[*] </font> The probability of 3 random cards having the same rank is 13*C(4,3)/C(52,3) = 52/22100 = 1/425.

The probability of this happening at least 6 times within 350 trials is 1-B(0,350,1/425)-...-B(6,350,1/425) ~ 1/42083
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