jules101 Posted August 30, 2012 Report Share Posted August 30, 2012 And how common is it to get one hand where THREE players each hold a NINE card suit? This one came up today! [hv=pc=n&s=sq8h6d3ck98765432&w=skhkqj987542dq94c&n=sat7htdakjt87652c&e=sj965432ha3dcaqjt]399|300[/hv] Have you ever seen that before? 1 Quote Link to comment Share on other sites More sharing options...
uday Posted August 30, 2012 Report Share Posted August 30, 2012 What was the context? Main bridge club, or tournament? Some tournaments use pre-loaded deals, often Goulash ( deliberately wild) deals Quote Link to comment Share on other sites More sharing options...
jules101 Posted August 31, 2012 Author Report Share Posted August 31, 2012 What was the context? Main bridge club, or tournament? Some tournaments use pre-loaded deals, often Goulash ( deliberately wild) deals A standard club tournament. Our dealing machine is away for its annual service, so a small team of us used an "automatic card shuffler" to shuffle all the boards thoroughly. We dealt the boards by hand. It was - or it seemed to me - such an amazing deal that I recorded it after play was finished. 1 Quote Link to comment Share on other sites More sharing options...
helene_t Posted August 31, 2012 Report Share Posted August 31, 2012 The number of hands that contain a 9-card (say) spade suit is 13!39!/(9!4!^2 35!). The total number of hands is 52!/(13!39!). The probability of getting a 9-card suit is therefore gamma(14)*gamma(40)*gamma(14)*gamma(40)/gamma(53)/gamma(10)/gamma(5)/gamma(5)/gamma(36). Which is 0.0000926 or roughly one out of 11000. The chance of getting 9 cards in any suit is four times as big so roughly one out of 2700. Quote Link to comment Share on other sites More sharing options...
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