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TABLES AND ILLUSTRATIONS TABLES 26.1 Two Perspectives on Outcomes 240 A.1 Chances for Two Successive Bets 270 A.2 Average Losses through Doubling Bets 274 C.1 Quiz Show Strategies 286 C.2 Albert’s Chances 289 E.1 Outcomes Drawing Two Kings 305 E.2a Balls 1, 2, 4, 6, 7, and 8 Picked in First Trial 310 E.2b Balls 1, 3, 4, 5, 6, and 7 Picked in Second Trial 310 ILLUSTRATIONS 2.1 Deism and Theism 24 2.2 God’s Power in Creation 25 2.3 God’s Universal Control 31 3.1 God’s Control over Happenstance 39 4.1 God’s Control over Disasters 51 5.1 Analogy of Human Author 57 5.2 Analogy for Creativity 61 6.1 God’s Control over Tiny Events 68 8.1 God’s Universal Control 77 8.2 God’s Control over All Events, Great and Small 89 9.1 Frame’s Square 93
10 Tables and Illustrations 9.2 Frame’s Square with Explanations 95 9.3 Frame’s Square for Chance 97 10.1 Regularities and Unpredictabilities 103 11.1 Archetype for Regularities and Unpredictabilities 111 12.1 Responses to Regularities and Unpredictabilities 118 13.1a If Chance Rules 127 13.1b When God Rules 128 14.1 Spirits and Powers 140 17.1 Archetype for Symmetries 167 18.1 Views of Probability 177 24.1 Six Regions 221 24.2 Six Regions with P 222 24.3 Six Regions with P Even 223 24.4 Six Regions with P Even and 1–3 223 24.5 A Intersection B 224 24.6 Nonintersecting A and B 225 24.7 Complement of A 226 25.1 Complement of A and PA 234 26.1 Proportion 6 to 1 in Space 241 26.2 A Half Pie 243 26.3 A Half Pie into Sixths 244 26.4 Proportion of 1 to 1/6 in Space 244 26.5 Events A and B in Two Dimensions 245 26.6 Proportion with A in Space 246 26.7 Events A and B in Two Dimensions (the General Case) 246 H.1 B and A and Complement of A 330 H.2 A Union B Divided into Three 331
Page 1 and 2: C H A N C E A N D T H E S O V E R E
Page 4: CHANCE AND THE SOVEREIGNTY OF GOD
Page 7 and 8: Chance and the Sovereignty of God:
Page 9: 17 Theistic Foundations for Probabi
Page 13 and 14: 12 Introduction had escaped an acci
Page 15 and 16: 14 Introduction of evolution. Accor
Page 18: PART I THE SOVEREIGNTY OF GOD
Page 21 and 22: 20 The Sovereignty of God something
Page 24 and 25: CHAPTER 2 GOD’S SOVEREIGNTY Accor
Page 26 and 27: God’s Sovereignty 25 the sea, and
Page 28 and 29: God’s Sovereignty 27 The Lord has
Page 30 and 31: God’s Sovereignty 29 declaring th
Page 32 and 33: God’s Sovereignty 31 Fig. 2.3: Go
Page 34 and 35: CHAPTER 3 UNPREDICTABLE EVENTS What
Page 36 and 37: Unpredictable Events 35 with her, a
Page 38 and 39: Unpredictable Events 37 case if the
Page 40: Unpredictable Events 39 formed thro
Page 43 and 44: 42 The Sovereignty of God womb, and
Page 45 and 46: 44 The Sovereignty of God I know th
Page 47 and 48: 46 The Sovereignty of God particula
Page 49 and 50: 48 The Sovereignty of God I form li
Page 51 and 52: 50 The Sovereignty of God that woul
Page 53 and 54: 52 The Sovereignty of God appears t
Page 55 and 56: 54 The Sovereignty of God God used
Page 57 and 58: 56 The Sovereignty of God bear the
Page 59 and 60: 58 The Sovereignty of God This anal
Page 61 and 62:
60 The Sovereignty of God of human
Page 64 and 65:
CHAPTER 6 SMALL RANDOM EVENTS We ha
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Small Random Events 65 Therefore do
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Small Random Events 67 as selecting
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Small Random Events 69 the human ma
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72 The Sovereignty of God This conf
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74 The Sovereignty of God God has e
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76 The Sovereignty of God He trusts
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78 The Sovereignty of God LARGE-SCA
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80 The Sovereignty of God QUANTUM E
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82 The Sovereignty of God hoped, wo
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84 The Sovereignty of God determini
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86 The Sovereignty of God DETAILED
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88 The Sovereignty of God rule the
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CHAPTER 9 WHAT IS CHANCE? So what i
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What Is Chance? 93 Lord has establi
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What Is Chance? 95 Non-Christian tr
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What Is Chance? 97 Fig. 9.3: Frame
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CHAPTER 10 REGULARITIES AND UNPREDI
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Regularities and Unpredictabilities
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Regularities and Unpredictabilities
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108 God as the Foundation for Chanc
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CHAPTER 12 RESPONDING TO CHANCE How
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Responding to Chance 117 truth. [19
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Responding to Chance 119 “Chance
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Responding to Chance 121 THE REMEDY
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Page 134 and 135:
CHAPTER 14 CHANCE AND IDOLATRY We h
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Chance and Idolatry 135 The Old Tes
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Chance and Idolatry 137 Some people
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Chance and Idolatry 139 What about
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Chance and Idolatry 141 these pract
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PART III PROBABILITY
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146 Probability make it very probab
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148 Probability than being manipula
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150 Probability We can see certaint
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152 Probability The additive princi
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CHAPTER 16 PREDICTIONS AND OUTCOMES
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Predictions and Outcomes 157 A prio
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Predictions and Outcomes 159 TRICKS
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162 Probability coin would not work
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164 Probability candidate. Chance,
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166 Probability character. Jesus sa
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CHAPTER 18 VIEWS OF PROBABILITY Mod
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Views of Probability 171 of heads i
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Views of Probability 173 himself is
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Views of Probability 175 the founda
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Views of Probability 177 A TRUE FOU
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180 Probability available informati
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182 Probability David does not say
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184 Probability that in order for t
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186 Probability to 5? Obviously the
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CHAPTER 20 ENTANGLEMENT OF PROBABIL
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Entanglement of Probabilities 191 r
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Entanglement of Probabilities 193 B
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Entanglement of Probabilities 195 o
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198 Probability has come up heads.
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200 Probability We can observe a co
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202 Probability god about whom a pe
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204 Probability a “system”—a
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206 Probability control does not im
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208 Probability the seed the value
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210 Probability unpredictable. That
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CHAPTER 23 IS GOD PROBABLE? Some pe
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Is God Probable? 215 now suppose th
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Is God Probable? 217 we suppress th
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PART IV PROBABILITY AND MATHEMATICS
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222 Probability and Mathematics 1/6
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224 Probability and Mathematics In
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226 Probability and Mathematics Fig
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CHAPTER 25 MATHEMATICAL POSTULATES
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Mathematical Postulates for Probabi
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240 Probability and Mathematics wil
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242 Probability and Mathematics And
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CHAPTER 27 LIMITATIONS IN HUMAN THI
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Limitations in Human Thinking about
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258 Probability and Mathematics pra
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APPENDICES
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264 Appendix A payoff in blackjack,
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266 Appendix A in the long run, an
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268 Appendix A Suppose, however, th
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270 Appendix A Table A.1: Chances f
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272 Appendix A $1,048,576, we can s
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274 Appendix A If his stake is over
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276 Appendix A average, it will gai
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278 Appendix A means that the gambl
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280 Appendix B the nature of events
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APPENDIX C A PUZZLE IN PROBABILITY
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A Puzzle in Probability 285 (1) pic
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A Puzzle in Probability 287 This si
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A Puzzle in Probability 289 contest
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A Puzzle in Probability 291 (1/3) =
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294 Appendix D 2. If people do not
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296 Appendix D If she is willing to
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298 Appendix D of a coin or a die o
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300 Appendix D Various sciences exp
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302 Appendix D influenced by views
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304 Appendix E THH THT TTH TTT Simi
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306 Appendix E Barbara could draw v
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308 Appendix E Or we can write it o
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310 Appendix E The number of five-c
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312 Appendix E numbered labels on t
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APPENDIX F THE BIRTHDAY PROBLEM Man
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The Birthday Problem 317 When we in
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The Birthday Problem 319 ested not
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322 Appendix G out of every 1,000 p
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324 Appendix G RETHINKING THE CASE
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326 Appendix G = P(B | A 1 ) × P(A
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APPENDIX H PROOFS FOR PROBABILITY I
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Proofs for Probability 331 Theorem
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APPENDIX I STATISTICS Statistics de
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Statistics 335 to be part of the sa
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338 Appendix J the expected proport
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340 Appendix J heads would have to
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BIBLIOGRAPHY Ash, Robert B. Basic P
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Bibliography 345 Rumsey, Deborah. P
Page 349 and 350:
348 General Index concursus (Latin:
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350 General Index Joash, 36 Job, 41
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352 General Index for, 128-129; nat
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354 Scripture Index 1 Samuel 10:20-
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356 Scripture Index 10:29 63, 103 1
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