- 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
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
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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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