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Pascal and Probability - Volume 1 in the "Scientist and Science" series (Paperback)
Loot Price: R272
Discovery Miles 2 720
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Pascal and Probability - Volume 1 in the "Scientist and Science" series (Paperback)
Series: Scientist and Science, 1
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Loot Price R272
Discovery Miles 2 720
Expected to ship within 10 - 15 working days
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This book can serve either as an interesting book to read for
enjoyment or else as an introductory book on probability theory. It
explains how probabilities are involved in daily life and in games
off chance. The inauguration of the probability theory is primarily
attributed to Blaise Pascal (1623-1662) and Pierre de Fermat
(1601-1665). Passages from the writings of Pascal are scattered
throughout the book. While contemplating a gambling problem posed
by Chevalier de Mere in 1654, Blaise Pascal corresponded with
Pierre de Fermat, and together they laid the fundamental groundwork
of probability theory. One of Pascal's letters discusses the
"Problem of Points." Two players each need a given number of points
in order to win; if they separate without playing out the game, how
should the stakes be divided between them? This book treats the
Problem of Points, and goes on to discuss probability models,
mathematical formulation, experiments, the notion of probability,
and Pascal's arithmetic triangle. Pascal devised the mathematical
concept of expectation (or expected value), which is of prime use
in the application of probability theory. The expectation explains
the features of advantageous, equitable, and disadvantageous games.
Applications are made to games of chance and to life insurance. The
concepts of events and favorable chances are described in terms of
dice games and roulette. The addition rule and the multiplication
rule for probabilities are presented. The multiplication rule is
displayed graphically by means of tree diagrams. Permutations and
combinations are explained. The notion of geometric probability is
presented, and a discussion of Bertrand's paradox is given. An
abundant collection of problems with solutions appear throughout
the book.
General
Imprint: |
Createspace Independent Publishing Platform
|
Country of origin: |
United States |
Series: |
Scientist and Science, 1 |
Release date: |
September 2013 |
First published: |
September 2013 |
Authors: |
Enders Anthony Robinson
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Dimensions: |
229 x 152 x 11mm (L x W x T) |
Format: |
Paperback - Trade
|
Pages: |
214 |
ISBN-13: |
978-1-4927-2261-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Probability & statistics
|
LSN: |
1-4927-2261-8 |
Barcode: |
9781492722618 |
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