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Question: probability of quoteither event a or b happensquot pa1...

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» probability of either event A or B happens: P(A-1 or B-1) - probability of none of event A or B happens: P(A 0, B 0) 1- P(A-1 or B 1) P(A 1,B-1)0 if and only if A and B are mutually exclusive. . P(A - 1,B-1) - P(A - 1)P(B1) if and only if A and B are independent. 1. Let A denote the event that a structural component fails during a test and B denoted the event that the component shows strain but does not fail. Given P(A) 0.15 and P(B) = 0.30: (a) What is the probability that a structural component does not fail during a test? (2pt) during a test? (2pt) strain during a test? (2pt) (b) What is the probability that a component either fails or shows strairn (c) What is the probability that a component neither fails nor shows

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