5. A missile can be accidently launched if 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 Bis more likely to fail (probability 0.06) if A has failed. Then, the probability that A will fail if B has failed is 0.02 O 0.006 O 0.003 O 0.0006

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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5. A missile can be accidently launched if 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. Then, the probability that A will fail if B has failed is
0.02
0.006
0.003
0.0006
O O
Transcribed Image Text:5. A missile can be accidently launched if 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. Then, the probability that A will fail if B has failed is 0.02 0.006 0.003 0.0006 O O
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