Probability and Expectation
eBook - ePub

Probability and Expectation

Zun Shan, Shanping Wang;;;

  1. 208 pages
  2. English
  3. ePUB (mobile friendly)
  4. Available on iOS & Android
eBook - ePub

Probability and Expectation

Zun Shan, Shanping Wang;;;

Book details
Table of contents
Citations

About This Book

In China, lots of excellent students who are good at maths take an active part in various maths contests and the best six senior high school students will be selected to form the IMO National Team to compete in the International Mathematical Olympiad. In the past ten years China's IMO Team has achieved outstanding results — they have won the first place almost every year.

The author is one of the senior coaches of China's IMO National Team, whose students have won many gold medals many times in IMO.

This book is part of the Mathematical Olympiad Series which discusses several aspects related to maths contests, such as algebra, number theory, combinatorics, graph theory and geometry. This book will, in an interesting problem-solving way, explain what probability theory is: its concepts, methods and meanings; particularly, two important concepts — probability and mathematical expectation (briefly expectation) — are emphasized. It consists of 65 problems, appended by 107 exercises and their answers.

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Information

Publisher
WSPC
Year
2016
ISBN
9789813141513
Topic
Mathematics
Subtopic
Mathematics General
Index
Mathematics

Table of contents

  1. Cover
  2. Halftitle
  3. Series Editor
  4. Title
  5. Copyright
  6. Introduction
  7. Contents
  8. 0. Basic Knowledge
  9. 1. Coin Tossing
  10. 2. General Di Qing’s Coins
  11. 3. Rolling Dice
  12. 4. Wei Xiao-bao’s Bet
  13. 5. Hold All the Trump Cards
  14. 6. Roll One-Spot
  15. 7. Red Balls and Black Balls
  16. 8. Same Month and Day
  17. 9. Integer Divisibility
  18. 10. Repeated Experiments
  19. 11. Silver Medal Dream
  20. 12. Fight Between Brothers
  21. 13. Subject Groups
  22. 14. More Dice
  23. 15. Custodian Turned Thief
  24. 16. Put Back or Not
  25. 17. Match Problem
  26. 18. Put Balls into Drawers
  27. 19. Problem of Matches
  28. 20. Trial in a Three-Judge Court
  29. 21. Win Twice in Succession
  30. 22. Fire Blank Shots
  31. 23. Catch a Turtle in a Jar
  32. 24. Diagnosis Rate
  33. 25. Running Well
  34. 26. Money Change Problem
  35. 27. Donkey versus Elephant
  36. 28. East Wind versus West Wind
  37. 29. Dowry Problem (I)
  38. 30. Dowry Problem (II)
  39. 31. Job Interview
  40. 32. Boxing Match (I)
  41. 33. Boxing Match (II)
  42. 34. Boxing Match (III)
  43. 35. Rein in on the Brink of the Precipice (I)
  44. 36. Rein in on the Brink of the Precipice (II)
  45. 37. Who Will Gamble Away?
  46. 38. Equal in Strength
  47. 39. Put All Money in One Bet
  48. 40. Indeterminate Equation
  49. 41. Throw Copper Coin onto a Small Table
  50. 42. Appointment of People in Hurry
  51. 43. Obtuse Triangle
  52. 44. Buffon’s Needle
  53. 45. Bertrand’s Paradox
  54. 46. Odd or Even Number
  55. 47. Rational or Irrational Number
  56. 48. Real Roots or Not
  57. 49. Divide the Stake
  58. 50. Sleeping Beauty
  59. 51. Number of Hits
  60. 52. The Suicide Club
  61. 53. The First Ace
  62. 54. How Many Pairs in Average
  63. 55. Many Holidays
  64. 56. Buy Lottery Tickets
  65. 57. Not to Indulge in Gambling
  66. 58. Social Party
  67. 59. Success by Trying Once or More Times
  68. 60. The 108 Heroes
  69. 61. Who is Sick?
  70. 62. A Fallen and Broken Rod
  71. 63. Broken into Three Fragments
  72. 64. The Number of Cross Points
  73. 65. Throw a Wire Ring
  74. Exercises
  75. Key to Exercises
Citation styles for Probability and Expectation

APA 6 Citation

Shan, Z. (2016). Probability and Expectation ([edition missing]). World Scientific Publishing Company. Retrieved from https://www.perlego.com/book/852487/probability-and-expectation-pdf (Original work published 2016)

Chicago Citation

Shan, Zun. (2016) 2016. Probability and Expectation. [Edition missing]. World Scientific Publishing Company. https://www.perlego.com/book/852487/probability-and-expectation-pdf.

Harvard Citation

Shan, Z. (2016) Probability and Expectation. [edition missing]. World Scientific Publishing Company. Available at: https://www.perlego.com/book/852487/probability-and-expectation-pdf (Accessed: 26 September 2021).

MLA 7 Citation

Shan, Zun. Probability and Expectation. [edition missing]. World Scientific Publishing Company, 2016. Web. 26 Sept. 2021.