For two independent components and with probabilities of working and respectively
MATHEMATICS · Single correct · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions
Problem
For two independent components C1 and C2 with probabilities of working p1 and p2 respectively, the components are connected in parallel so that the system works if at least one component works. Which of the following expressions gives the probability that the system works?
(a) 1−p1p2
(b) 1−(1−p1)(1−p2)
(c) p1+p2
(d) p1p2