000			08075cam a2200937 i 4500
001			ocn987017971
003			OCoLC
005			20220908100127.0
006			m o d
007			cr |n|||||||||
008			160909t20172017nju ob 001 0 eng d
040			_aIDEBK _beng _erda _epn _cIDEBK _dOCLCO _dEBLCP _dIDEBK _dMERUC _dYDX _dSTF _dCUS _dOCLCQ _dDEGRU _dFVL _dCNCGM _dOCLCQ _dUKAHL _dOCLCQ _dUMI _dBRF _dUX1 _dN$T _dOCLCF _dJSTOR _dIEEEE _dOCLCO _dOCLCQ
019			_a983472613 _a984653438 _a988853600 _a994128668 _a994417598 _a995307907 _a1002595523 _a1003076619 _a1085630821 _a1130641961 _a1149390404 _a1175637482
020			_a1400885388 _q(ebk)
020			_a9781400885381
020			_z0691149550
020			_z0691149542
020			_z9780691149547
020			_z9780691149554
024	7		_a10.1515/9781400885381 _2doi
027			_aEBC_SU
029	1		_aAU@ _b000060548236
029	1		_aAU@ _b000060548360
029	1		_aGBVCP _b890400717
035			_a(OCoLC)987017971 _z(OCoLC)983472613 _z(OCoLC)984653438 _z(OCoLC)988853600 _z(OCoLC)994128668 _z(OCoLC)994417598 _z(OCoLC)995307907 _z(OCoLC)1002595523 _z(OCoLC)1003076619 _z(OCoLC)1085630821 _z(OCoLC)1130641961 _z(OCoLC)1149390404 _z(OCoLC)1175637482
037			_a1005451 _bMIL
037			_a9452645 _bIEEE
050		4	_aQA273 _b.M55185 2017eb
072		7	_aMAT029000 _2bisacsh
082	0	4	_a519.2 _223
049			_aMAIN
100	1		_aMiller, Steven J., _d1974- _eauthor. _964954
245	1	4	_aThe probability lifesaver : _ball the tools you need to understand chance / _cSteven J. Miller.
264		1	_aPrinceton : _bPrinceton University Press, _c[2017]
264		4	_c�2017
300			_a1 online resource (xxiii, 727 pages)
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file
347			_bPDF
490	1		_aA Princeton lifesaver study guide
504			_aIncludes bibliographical references and index.
588	0		_aPrint version record.
505	8		_a2.2 Set Theory Review2.2.1 Coding Digression; 2.2.2 Sizes of Infinity and Probabilities; 2.2.3 Open and Closed Sets; 2.3 Outcome Spaces, Events, and the Axioms of Probability; 2.4 Axioms of Probability; 2.5 Basic Probability Rules; 2.5.1 Law of Total Probability; 2.5.2 Probabilities of Unions; 2.5.3 Probabilities of Inclusions; 2.6 Probability Spaces and [sigma]-algebras; 2.7 Appendix: Experimentally Finding Formulas; 2.7.1 Product Rule for Derivatives; 2.7.2 Probability of a Union; 2.8 Summary; 2.9 Exercises; 3 Counting I: Cards; 3.1 Factorials and Binomial Coefficients.
505	0		_aCover; Title; Copyright; CONTENTS; Note to Readers; How to Use This Book; I General Theory; 1 Introduction; 1.1 Birthday Problem; 1.1.1 Stating the Problem; 1.1.2 Solving the Problem; 1.1.3 Generalizing the Problem and Solution: Efficiencies; 1.1.4 Numerical Test; 1.2 From Shooting Hoops to the Geometric Series; 1.2.1 The Problem and Its Solution; 1.2.2 Related Problems; 1.2.3 General Problem Solving Tips; 1.3 Gambling; 1.3.1 The 2008 Super Bowl Wager; 1.3.2 Expected Returns; 1.3.3 The Value of Hedging; 1.3.4 Consequences; 1.4 Summary; 1.5 Exercises; 2 Basic Probability Laws; 2.1 Paradoxes.
505	8		_a3.1.1 The Factorial Function3.1.2 Binomial Coefficients; 3.1.3 Summary; 3.2 Poker; 3.2.1 Rules; 3.2.2 Nothing; 3.2.3 Pair; 3.2.4 Two Pair; 3.2.5 Three of a Kind; 3.2.6 Straights, Flushes, and Straight Flushes; 3.2.7 Full House and Four of a Kind; 3.2.8 Practice Poker Hand: I; 3.2.9 Practice Poker Hand: II; 3.3 Solitaire; 3.3.1 Klondike; 3.3.2 Aces Up; 3.3.3 FreeCell; 3.4 Bridge; 3.4.1 Tic-tac-toe; 3.4.2 Number of Bridge Deals; 3.4.3 Trump Splits; 3.5 Appendix: Coding to Compute Probabilities; 3.5.1 Trump Split and Code; 3.5.2 Poker Hand Codes; 3.6 Summary; 3.7 Exercises.
505	8		_a4 Conditional Probability, Independence, and Bayes' Theorem4.1 Conditional Probabilities; 4.1.1 Guessing the Conditional Probability Formula; 4.1.2 Expected Counts Approach; 4.1.3 Venn Diagram Approach; 4.1.4 The Monty Hall Problem; 4.2 The General Multiplication Rule; 4.2.1 Statement; 4.2.2 Poker Example; 4.2.3 Hat Problem and Error Correcting Codes; 4.2.4 Advanced Remark: Definition of Conditional Probability; 4.3 Independence; 4.4 Bayes' Theorem; 4.5 Partitions and the Law of Total Probability; 4.6 Bayes' Theorem Revisited; 4.7 Summary; 4.8 Exercises; 5 Counting II: Inclusion-Exclusion.
505	8		_a5.1 Factorial and Binomial Problems5.1.1 "How many" versus "What's the probability"; 5.1.2 Choosing Groups; 5.1.3 Circular Orderings; 5.1.4 Choosing Ensembles; 5.2 The Method of Inclusion-Exclusion; 5.2.1 Special Cases of the Inclusion-Exclusion Principle; 5.2.2 Statement of the Inclusion-Exclusion Principle; 5.2.3 Justification of the Inclusion-Exclusion Formula; 5.2.4 Using Inclusion-Exclusion: Suited Hand; 5.2.5 The At Least to Exactly Method; 5.3 Derangements; 5.3.1 Counting Derangements; 5.3.2 The Probability of a Derangement; 5.3.3 Coding Derangement Experiments.
520			_aFor students learning probability, its numerous applications, techniques, and methods can seem intimidating and overwhelming. That's where The Probability Lifesaver steps in. Designed to serve as a complete stand-alone introduction to the subject or as a supplement for a course, this accessible and user-friendly textbook helps students comfortably navigate probability's terrain and achieve positive results. The Probability Lifesaver is based on a successful course that Steven Miller has taught at Brown University, Mount Holyoke College, and Williams College. With a relaxed and informal style, Miller presents the math with thorough reviews of prerequisite materials, worked-out problems of varying difficulty, and proofs. He explores a topic first to build intuition, and only after that does he dive into technical details. Coverage of topics is comprehensive, and materials are repeated for reinforcement--both in the textbook and on the book's website. An appendix goes over proof techniques, and video lectures of the course are available online. Students using this book should have some familiarity with algebra and precalculus. The Probability Lifesaver not only enables students to survive probability but also to achieve mastery of the subject for use in future courses. A helpful introduction to probability or a perfect supplement for a courseNumerous worked-out examplesLectures based on the chapters are available free onlineIntuition of problems emphasized first, then technical proofs givenAppendixes review proof techniquesRelaxed, conversational approach.
546			_aIn English.
590			_aIEEE _bIEEE Xplore Princeton University Press eBooks Library
650		0	_aProbabilities. _94604
650		0	_aChance. _964955
650		0	_aGames of chance (Mathematics) _964956
650		0	_aRandom variables. _92640
650		2	_aProbability _92639
650		6	_aProbabilit�es. _964957
650		6	_aHasard. _964958
650		6	_aJeux de hasard (Math�ematiques) _964959
650		6	_aVariables al�eatoires. _964960
650		7	_aprobability. _2aat _92639
650		7	_agames of chance. _2aat _964961
650		7	_aMATHEMATICS _xProbability & Statistics _xGeneral. _2bisacsh _95812
650		7	_aChance. _2fast _0(OCoLC)fst00852032 _964955
650		7	_aGames of chance (Mathematics) _2fast _0(OCoLC)fst00937578 _964956
650		7	_aProbabilities. _2fast _0(OCoLC)fst01077737 _94604
650		7	_aRandom variables. _2fast _0(OCoLC)fst01089812 _92640
655		4	_aElectronic books. _93294
776	0	8	_iPrint version: _z9781400885381
830		0	_aPrinceton lifesaver study guide. _964818
856	4	0	_uhttps://ieeexplore.ieee.org/servlet/opac?bknumber=9452645
936			_aBATCHLOAD
938			_aAskews and Holts Library Services _bASKH _nAH32684752
938			_aDe Gruyter _bDEGR _n9781400885381
938			_aEBSCOhost _bEBSC _n1460152
938			_aProQuest MyiLibrary Digital eBook Collection _bIDEB _ncis37750359
938			_aYBP Library Services _bYANK _n13277875
942			_cEBK
994			_a92 _bINTKS
999			_c81376 _d81376