Probability and Expectation

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.
Contents:Coin TossingGeneral Di Qing's CoinsRolling DiceWei Xiao-bao's BetHold All the Trump CardsRoll One-SpotRed Balls and Black BallsSame Month and DayInteger DivisibilityRepeated ExperimentsSilver Medal DreamFight Between BrothersSubject GroupsMore DiceCustodian Turned ThiefPut Back or NotMatch ProblemPut Balls into DrawersProblem of MatchesTrial in a Three-Judge CourtWin Twice in SuccessionFire Blank ShotsCatch a Turtle in a JarDiagnosis RateRunning WellMoney Change ProblemDonkey versus ElephantEast Wind vesus West WindDowry Problem (I)Dowry Problem (II)Job InterviewBoxing Match (I)Boxing Match (II)Boxing Match (III)Rein in on the Brink of the Precipice (I)Rein in on the Brink of the Precipice (II)Who Will Gamble Away?Equal in StrengthPut All Money in One BetIndeterminate EquationThrow Copper Coin onto a Small TableAppointment of People in HurryObtuse TriangleBuffon's NeedleBertrand's paradoxOdd or Even NumberRational or Irrational NumberReal Roots or NotDivide the StakeSleeping BeautyNumber of HitsThe Suicide ClubThe First AceHow Many Pairs in AverageMany HolidaysBuy Lottery TicketsNot to Indulge in GamblingSocial PartySuccess by Trying Once or More TimesThe 108 HeroesWho is Sick?A Fallen and Broken RodBroken into Three FragmentsThe Number of Cross PointsThrow a Wire RingReadership: Senior high school students engaged in math contests, math teachers, undergraduates of math major and math enthusiasts.Probability;Mathematical Expectation;Mathematical Olympiad