- A missile can be accidently launched in two relays A and B both have failed. The probabilities of A and B failing are known to be 0.01 and 0.03 respectively. It is also known that B is more likely to fail (probability 0.06), if A has failed. (1) What is the probability of an accidental missile launch? (ii) What is the probability that A will fail if B has failed?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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Q29. A missile can be accidently launched in two
relays A and B both have failed. The
probabilities of A and B failing are known to
be 0.01 and 0.03 respectively. It is also known
that B is more likely to fail (probability 0.06),
if A has failed.
(1)
What is the probability of an accidental
missile launch?
(ii) What is the probability that A will fail if B
has failed?
Transcribed Image Text:Q29. A missile can be accidently launched in two relays A and B both have failed. The probabilities of A and B failing are known to be 0.01 and 0.03 respectively. It is also known that B is more likely to fail (probability 0.06), if A has failed. (1) What is the probability of an accidental missile launch? (ii) What is the probability that A will fail if B has failed?
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