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students in the class are girls, the teacher is certain to choose a
students in the class are girls, the teacher is certain to choose a
girl.
girl.
== Historical Note ==
In 1654, a gambler Chevalier de Metre approached the well known French
Philosoher and Mathematician Blaise Pascal (1623–1662) for certain
dice problem. Pascal became interested in these problems and
discussed with famous French Mathematician Pierre de Fermat
(1601–1665). Both Pascal and Fermat solved the problem
independently. Besides, Pascal and Fermat, outstanding contributions
to probability theory were also made by Christian Huygenes
(1629–1665), a Dutchman, J. Bernoulli (1654–1705), De Moivre
(1667–1754), a Frenchman Pierre Laplace (1749–1827), A Frenchman
and the Russian P.L Chebyshev (1821–1897), A. A Markov (1856–1922)
and A. N Kolmogorove (1903–1987). Kolmogorove is credited with the
axiomatic theory of probability. His book ‘Foundations of
Probability’ published in 1933, introduces probability as a set
function and is considered a classic.
== Experimental & Theoretical Approach ==
A
'''Random Experiment''' is an experiment, trial, or observation
that can be repeated numerous times under the '''''same conditions'''''.
The outcome of an individual random experiment must be independent
and identically distributed. It must in no way be affected by any
previous outcome and cannot be predicted with certainty.
Examples
of a Random experiment include:
The tossing of a coin. The experiment can yield two possible outcomes,
heads or tails.
The roll of a die. The experiment can yield six possible outcomes, this
outcome is the number 1 to 6 as the die faces are labelled.
A complete list of all possible outcomes of a random experiment is
called '''''sample space''''' or possibility space and is denoted by S
= Textbook =
= Textbook =