SLU MATH135 probability

SLU MATH135 probability - Probability Discrete Math MATH...

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Probability Discrete Math MATH 135 David Oury Probability Discrete Math MATH 135 David Oury December 5, 2011 Chapter 6, Sections 1, 2, 3 of Discrete Mathematics and its Applications, by Rosen

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Probability Discrete Math MATH 135 David Oury Finite probability I probability 1 A sample space S contains a ﬁnite number of atomic events. Let P ( s ) denote the probability of s occurring. We require that s S P ( s ) = 1 and that P ( s ) = P ( t ) for all atomic events s and t . 2 Example: sample space is the collection of 5 card combinations from a pack of 52 cards. 3 An event E is a collection of atomic events. 4 The probability of an event E from sample space S is P ( E ) = | E | / | S |
Probability Discrete Math MATH 135 David Oury Finite probability II More probability 1 Complementary event: E = S \ E 2 P ( E ) for a complementary event E is 1 - P ( E ) 3 The probability of two events (not necessarily mutually exclusive) is P ( E F ) = P ( E ) + P ( F ) - P ( E F ) 4 Two events

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SLU MATH135 probability - Probability Discrete Math MATH...

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