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Fifty challenging problems in probability with solutions. (Reprint. Orig. publ. by Addison-Wesley, Reading, Mass., 1965). (English) Zbl 0653.60001
New York: Dover Publications, Inc. VIII, 88 p.; $ 3.95 in U.S.A. (1987).
This delightful little book, which is now available in Dover edition, was first published in 1965, and has become a classic since. It is easy and most enjoyable to read and also still ‘lively’, although many of the given problems look nowadays very familiar. Several of them have found meanwhile their entry in some elementary textbooks on the subject, sometimes in a modified form. Therefore, almost all of the problems are or seem easy, but it is still amusing to see, how even more advanced students get puzzled by slight modifications of some of these (Problem 15 is one of the reviewer’s favorites). Other problems proved to be deep (as for example the dowry or secretary problem, see Nr. 47 and Nr. 48) and have developed into genuine research topics.
Reviewer: F.Th.Bruss

60-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to probability theory