# PS02 - University of Illinois Fall 2009 ECE 313 Problem Set...

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University of Illinois Fall 2009 ECE 313: Problem Set 2 Axioms of Probability; Countably Inﬁnite Sample Spaces Due: Wednesday September 9 at 4 p.m. . Reading: Ross Chapter 1, Sections 1-4; Chapter 2, Sections 1-5 Powerpoint Lecture Slides, Sets 4-7 1. [Maximum and minimum values for probabilities] A , B and C are events with probabilities 0.6, 0.2, and 0.7 respectively. (a) What are the largest possible values of P ( A B ) and ( A C )? (b) What are the smallest possible values of P ( A B ) and ( A C )? (c) What are the largest possible values of P ( A B ) and ( A C )? (d) What are the smallest possible values of P ( A B ) and ( A C )? 2. [Unions and Intersections] Find the value of P ( A ( B C )) in each of the following three cases. If there is not enough information to calculate the desired probability, then state so. (a) A,B, and C are mutually exclusive events. (b)
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