A mobile phone must pass two independent hardware tests and followed by a software test
MATHEMATICS · Single correct · A Level · Mathematics · Probability · Probability
Problem
A mobile phone must pass two independent hardware tests H1 and H2 followed by a software test S. Given P(H1)=0.9, P(H2)=0.95, and P(S∣H1∩H2)=0.8, determine the probability that a phone passes all three tests.
(a) 0.855
(b) 0.760
(c) 0.684
(d) 0.796