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Misc 15 - An electronic assembly consists of two subsystems A, B

Misc 15 - Chapter 13 Class 12 Probability - Part 2
Misc 15 - Chapter 13 Class 12 Probability - Part 3

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Misc 15 An electronic assembly consists of two subsystems, say, A and B. From previous testing procedures, the following probabilities are assumed to be known: P(A fails) = 0.2 P(B fails alone) = 0.15 P(A and B fail) = 0.15 Evaluate the following probabilities (i) P(A fails |B has failed) Now, P(A fails |B has failed) = (𝑃(𝐴 & 𝐵 𝐹𝑎𝑖𝑙))/(𝑃(𝐵 𝐹𝑎𝑖𝑙)) = (0. 15)/(0. 30) = 1/2 = 0.5 ∴ P(A fails |B has failed) = 0.5 Misc 15 (ii) P(A fails alone) P(A fails alone) = P(A fails) – P(A & B fail) = 0.20 – 0.15 = 0.05

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.