Two identical automatic machines M1 and M2 work independently of each other
MATHEMATICS · Multi-part · A Level · Mathematics · Probability · Probability
Problem
Two identical automatic machines M1 and M2 work independently of each other. On any given day each machine functions successfully with probability 0.92.
(i) Calculate the probability that both machines function successfully on a particular day.
(ii) Find the probability that exactly one of the two machines functions successfully.
(iii) Determine the probability that neither machine functions successfully.
(iv) Hence obtain the probability that at least one machine functions successfully on that day.