Mathematics

Mathematics

Problem

For two independent components C1C_1 and C2C_2 with probabilities of working p1p_1 and p2p_2 respectively, the components are connected in parallel so that the system works if at least one component works. Which of the following expressions gives the probability that the system works? a) 1−p1p21-p_1 p_2 b) 1−(1−p1)(1−p2)1-(1-p_1)(1-p_2) c) p1+p2p_1+p_2 d) p1p2p_1 p_2

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