06Probability

# 06Probability - Probability Definition event outcomes of...

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Probability Definition : event: outcomes of experiments and their collections set: a collection of objects; A , B elements: the objects of a set; abi k ii , , , ,. .... = 12 subset: a part of a larger set space: the largest set; S empty set or null set: a set of no elements; φ union: the set of elements which belong to A or B or both A and B ; A + B , A B intersection: the set of elements which belong to both A and B ; AB , A B Axiomatic Definition of Probability : Axiom I: probability To each event A, which is the subset of the space S , there is assigned a nonnegative, real number Pr( A ) which is called the probability of event A , Pr () A 0. Axiom II: The probability of an event certain to occur is unity. Pr () . S = 1 Axiom III: The probability of two mutually exclusive events, A and B , is equal to the sum of the probabilities of A and B , Pr P r ()P r A B A B + = + since Pr (). AB = 0 Example) single dice experiment with A for odd numbers and B for even numbers.

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## This note was uploaded on 11/21/2009 for the course ME . taught by Professor . during the Spring '09 term at Korea University.

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06Probability - Probability Definition event outcomes of...

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