Fifty Challenging Problems in Probability with SolutionsThe sck drawer; Sucessive wins; The flippant juror; Trials until first success; Coin in square; Chuck-a-luck; Curing the compulsive gambler; Perfect bridge hand; Craps; An experiment in personal taste for money prisoners dilemma; Collecting coupons, including Eulers approximation for harmanic suns; The theater row; Will second-best be runner-up? Twin knights; Am even split at coin tossing, inchuding Stirlings approximation; Isaac Newton helps Samuel Pepys; The three-cornered duel; Shauld you sample with or withaut replacement? The ballot box; Fies in matching pennies; The infair subway; Lengths of random Chords; The hurried duelers; Catching the cautions counterfreited; Catching the greedy counterfeiter, including the Poisson distribution; Moldy gelatin; Eveningthe sales. Birthday hairing; Finding your birthmate; Relating the birthday haitings and birthmate problemes. Birthday holidays; The cliff-hanger; Gamblers ruim; Bold play vs. Cantions play; The thick coin. Digression: A note on the principle of symmetry chemist; The firstace; The locomotive probem; The little end of the stick; The broken bar; Winning an uinfair game; matches; Choosing the largest dowry; Choosing the largest random number. Doubling your accuracy; Random quadratic equatins; Tubdimensional random walk; Three-dilmensional random walk; Buffons needle; Buffons needle with horizontal and vertical rulings; hoong needles; molinas urns. |
Contents
The sock drawer 1 | 1 |
Coin in square 2 19 | 2 |
An experiment in personal taste for money 3 26 | 3 |
Copyright | |
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alike average number binomial coefficients binomial distribution Birthday Pairings birthmate problem Buffon's Needle candidate cards champion chance of winning Choosing the Largest chord Chuck-a-Luck correct decision Coupons decides deck dice are rolled distribution draw duels Elmer's equal Erewhon example expected loss expected number factory false coins fraction Gambler's Ruin gives Howard Raiffa indifference number Isaac Newton largest dowry length locomotives logarithms Matching Pennies mean number meet natural logarithms number of matches number of plays origin otherwise he loses P₁ particle returns Pepys perfect hand player Poisson Poisson distribution Prisoner's Dilemma prize probability of exactly probability of winning PWSA radius Random Walk randomly red socks replacement roulette runner-up cup sample space Samuel Pepys second-best segment sequence slips Solution square step Stirling's approximation strategy Suppose tally throw toss total number total probability tournament ladder unit stake warder says white balls


