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Acknowledgements(第1页)

Aents

IthaonVaughanWilliamsahforhelpfulinformatiodds,LesMillerfortheresultsofhissimulatioespins,IanMcHaleforhisdetailedexplanationofhowtoestimatethewinnihe32teamsinthefinalsofsoccer’sWorlddDerekRobinsonforhishelpwiththediagrams。Iamparticularlygratefultoananonymousreferee,whoseadstruentshavehelpedmeremoveambiguities,orderthematerialmoretly,aodrawoutthetralideasofthesubject。

Ibegfivehoseotherswhhemselvesastheunaowledgediion,opinioesinthisbook,butIhavereliedontoomaogiveindividualcrediteverytime。Thisisnotaise,witheveryassertiooitsroots,butaosharpenthereader’sappreofwhatthesubjectofprobabilityisabout,hoed,amightbeapplied。

Allerrorsahatremainareminealone。

JohnHaigh

August2011

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