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2. (30 points) The water supply for a city is transmitted by a pipeline consisting of three branches. Let Bi denote the failure of Branch i. For each event defined below, draw a Venn diagram and indicate the region corresponding to the event. a) None of the branches fail b) Branch 1 fails. c) Only Branch 1 fails. d) e) Only one of the branches fails Branch 2 does not fail
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