A machine contains three independent components and
MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
A machine contains three independent components A,B and C. The machine operates only if every component operates.
(i) Given P(A)=0.90,P(B)=0.95 and P(C)=0.92, find the probability that the machine operates.
(ii) Find the probability that the machine fails to operate.
(iii) Calculate the probability that exactly one component fails during a run of the machine.