Fifty Challenging Problems in Probability

1.     The Sock drawer

2.     Successive Wins

3.     The flippant juror

4.     Trials until first success

5.     Coin in square

6.     Chuck-a-Luck

7.     Curing the compulsive gambler

8.     Perfect bridge hand

9.     Craps

10.   An experiment in the personal taste for money

11.   Silent cooperation

12.   Quo Vadis?

13.   The prisoner's dilemma

14.   Collecting coupons

15.   The theater row

16.   Will second-best by runner-up?

17.   Twin knights

18.   An even split at coin tossing

19.   Isaac Newton helps Samuel Pepys

20.   The three-cornered duel

21.   Should you sample with or without replacement?

22.   The ballot box

23.   Ties in matching pennies

24.   The unfair subway

25.   Lengths of random chords

26.   The hurried duelers

27.   Catching the cautious counterfeiter

28.   Catching the greedy counterfeiter

29.   Moldy gelatin

30.   Evening the sales

31.   Birthday pairings

32.   Finding your birthmate

33.   Relating the birthday pairings and birthmate problems

34.   Birthday holidays

35.   The cliff-hanger

36.   Gambler's ruin

37.   Bold vs. cautious play

38.   The thick coin

Digression: A note on the principle of symmetry

39.   The clumsy chemist

40.   The first ace

41.   The locomotive problem

42.   The little end of the stick

43.   The broken bar

44.   Winning an unfair game

45.   Average number of matches

46.   Probabilities of matches

47.   Choosing the largest dowry

48.   Choosing the largest random number

49.   Doubling your accuracy

50.   Random quadratic equations

51.   Two-dimensional random walk

52.   Three-dimensional random walk

53.   Buffon's needle

54.   Buffon's needle with horizontal and vertical rulings

55.   Long needles

56.   Molina's urns