A man is walking through a maze with 6 electric gates independent of each other. Let Ai = be the case that a door works.  P(A1) = 0.7  P(A2) = 0.4   P(A3 ) = 0.5  P(A4 ) =0.9   P(A5) = 0.3  P(A6)= 0.6 See picture for path.  C = (A5 ∩ A6 ) ∪ A3   Evaluate P(C)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.7: Combinations
Problem 3E
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A man is walking through a maze with 6 electric gates independent of each other. Let Ai = be the case that a door works. 

P(A1) = 0.7  P(A2) = 0.4   P(A3 ) = 0.5  P(A4 ) =0.9   P(A5) = 0.3  P(A6)= 0.6

See picture for path. 

C = (A5 ∩ A6 ) ∪ A3   Evaluate P(C) 

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