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1313_section7o3

# 1313_section7o3 - Section 7.3 Rules of Probability Let S be...

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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. 1 ) ( 0 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 Ø), 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? P({2})=1/6; 6 5 6 1 1 ) } 2 ({ = - = c P

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Section7.3 – Rules of Probability 2 Example 1: A box contains 10 cards numbered from 1 to 10. 3 of these cards are red (numbered 1 to 3) and 7 of them are blue (numbered 4 to 10). A card is chosen at random.
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1313_section7o3 - Section 7.3 Rules of Probability Let S be...

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