1313_section7o3 - Section7.3 Rules of Probability 1 Section...

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Unformatted text preview: 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. 1 ) ( E P , for any event E. 2. 1 ) ( = S P 3. ) ( ) ( ) ( ) ( F E P F P E P F E P - + = Note: If E and F are mutually exclusive (i.e., = F E ), then the rule becomes: ) ( ) ( ) ( F P E P F E P + = 4. ) ( 1 ) ( E P E P c- = Example: A die is cast once. a) What is the probability that the number is even or greater than 3? E: the number is odd; {1,3,5} F: the number is greater than 4; {5,6} F E ={5} P(E)=3/6=1/2. P(F)=2/6=1/3. 6 / 1 ) ( = F E P . 3 2 6 1 3 1 2 1 ) ( ) ( ) ( ) ( =- + = - + = F E P F P E P F E P b) What is the probability that the number is 2 or 4? P({2})=1/6, P({4})=1/6. The events are mutually exclusive. 3 1 6 1 6 1 ) ( ) ( ) ( = + = + = F P E P F E P c) What is the probability that the number is not 2?...
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This note was uploaded on 02/21/2012 for the course MATH 1313 taught by Professor Constante during the Spring '08 term at University of Houston.

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1313_section7o3 - Section7.3 Rules of Probability 1 Section...

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