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Unformatted text preview: What is the probability of throwing a “7” (i.e., a total of 7)? (iii) What is the probability of throwing a “6”? (iv) What is the probability of throwing a “12”? (v) What is the probability of throwing a “7” or an “11”? Prob. 3. Given: P(A ∪ B) = 0.75, P(A) = 0.5, P(A ∩ B) = 0.25 Find: P(B), P(A  B), P(B  A), P(A ∪ B  A ∩ B), P( A _  A _ ∪ B), P( B _  A _ ∪ B) Prob. 4 Consider three events C, D, E, where P(C) = 0.2, 10 . ) ( = ∩ D C P , P(C ∩ D) = 0.05, P (C _ ∩ E) = 0.8, and P(C ∩ D _ ∩ E) = 0.1, 05 . ) ( = ∩ E D P Find: (a) Divide the sample space S into eight disjoint events and find the probability of each of the eight disjoint events. (b) ) ( E D C P ∪ ∪ (c) ) ( E D C P ∩ ∩ (d) )  ( D C D C P ∪ ∩ (e) )  ( D E D C P ∪ ∪ (f) ) ( E D C P ∪ ∪ (g) )  ( E D D C P ∪ ∩ (h) )  ( D C E D C P ∪ ∩ ∩ (i) )  ( D C E D P ∩ ∪...
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This note was uploaded on 01/20/2010 for the course EE 351k taught by Professor Bard during the Spring '07 term at University of Texas.
 Spring '07
 BARD

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