A machine will function only if all three of its independent subsystems ,
MATHEMATICS · Multi-part · CBSE · Mathematics · Probability · Probability
Problem
A machine will function only if all three of its independent subsystems A, B, and C are operational. The probabilities that the individual subsystems are operational on a given day are P(A)=0.95, P(B)=0.90, and P(C)=0.85.
(i) Calculate the probability that the machine is operational on that day.
(ii) Hence, determine the probability that the machine fails on that day.