Math1313-Section7.3-Blank

# Math1313-Section7.3-Blank - Section 7.3 Rules of...

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Section7.3 – Rules of Probability 1 Section 7.3 Rules of Probability Let S be a sample space, E and F are events of the experiment then, 1. 0 < P(E) < 1, for any event E. 2. P(S) = 1 3. If E and F are mutually exclusive, (E I F = Ø), then P(E U F) = P(E) + P(F). (Note that this property can be extended to a finite number of events.) 4. If E and F are not mutually exclusive, (E I F Ø), then P(E U F) = P(E) + P(F) – P(E I F). (Note that this property can be extended to a finite number of events.) Example 1: Let E and F be two events and suppose that P(E) = 0.37, P(F) = 0.3 and ) ( F E P I =.08. Find: a. P(E U F) b. ) ( F E P c I 5. Rule of Complements: If E is an event and E c denotes the complement of E then P(E c ) = 1 – P(E). Example 2: Let E and F be two events and suppose that P(E) = 0.54, P(F) = 0.56 and ) ( F E P I =.18. Find: a. P(F c ) b. c F E P ) ( I

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Section7.3 – Rules of Probability 2 Example 3: Let E and F be events of a sample space S. Let P(E c ) = 0.69, P(F) = 0.36
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Math1313-Section7.3-Blank - Section 7.3 Rules of...

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