MATHEMATICS · Subjective · CBSE · Mathematics · Probability · Probability
Problem
Three independent machines A, B and C manufacture identical bolts. On any given day, the probabilities that the machines are working satisfactorily are 0.92, 0.95 and 0.90 respectively.
(i) Find the probability that all three machines work satisfactorily on that day.
(ii) Calculate the probability that exactly two of the machines work satisfactorily.
(iii) Determine the probability that at least one machine is out of order.