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Problem 4 (30 points) The occlusion probabilities of streets A, B, and C shown schematically below are P(A) = 0.1 and P(B) = 0.2.

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Problem 4 (30 points) The occlusion probabilities of streets A, B, and C shown schematically below are P(A) = 0.1 and P(B) = 0.2. The occlusion probabilities of these pathways are interdependent and P(A-B) = 0.5 and P(B-A) = 1. It is also known that when one of the A and B streets is blocked, the C street is also blocked. In addition, the probability of C street being blocked when A and B streets are open is 0.12. Based on these data, what is the probability of blocking C avenue? B C

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