# Unexpected Expectations: The Curiosities of a Mathematical Crystal Ball

By Leonard M. Wapner

Unexpected expectancies: The Curiosities of a Mathematical Crystal Ball explores how paradoxical demanding situations concerning mathematical expectation usually necessitate a reexamination of easy premises. the writer takes you thru mathematical paradoxes linked to likely basic functions of mathematical expectation and exhibits how those unforeseen contradictions may well push you to re-evaluate the legitimacy of the applications.

The booklet calls for basically an knowing of uncomplicated algebraic operations and contains supplemental mathematical heritage in bankruptcy appendices. After a heritage of chance thought, it introduces the elemental legislation of likelihood in addition to the definition and functions of mathematical expectation/expected price (E). the rest of the textual content covers unforeseen effects relating to mathematical expectation, including:

• The roles of aversion and danger in rational choice making
• A classification of anticipated worth paradoxes known as envelope problems
• Parrondo’s paradox―how adverse (losing) expectancies may be mixed to offer a profitable outcome
• Problems linked to imperfect recall
• Non-zero-sum video games, resembling the sport of fowl and the prisoner’s dilemma
• Benford’s legislation and its use in computing device layout and fraud detection

While worthwhile in components as varied as online game thought, quantum mechanics, and forensic technological know-how, mathematical expectation generates paradoxes that often depart questions unanswered but exhibit fascinating surprises. Encouraging you to include the mysteries of arithmetic, this publication is helping you have fun with the functions of mathematical expectation, "a statistical crystal ball."

take heed to an interview with the writer on NewBooksinMath.com.

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