100 integrated circuits of type A, 200 of type B, and 300 of type C are mixed together. Type A chips are known to be defective with probability 1/10, type B with probability 1/20, and type C with probability 1/30. a) If all 600 chips are mixed together and one is selected at random, what is the probability of its being defective? b) Given that the selected chip in part (a) is defective, what is the probability that it is type A?

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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100 integrated circuits of type A, 200 of type B, and 300 of type C are mixed together. Type
A chips are known to be defective with probability 1/10, type B with probability 1/20, and type C
with probability 1/30.
a) If all 600 chips are mixed together and one is selected at random, what is the probability
of its being defective?
b) Given that the selected chip in part (a) is defective, what is the probability that it is type A?
Transcribed Image Text:100 integrated circuits of type A, 200 of type B, and 300 of type C are mixed together. Type A chips are known to be defective with probability 1/10, type B with probability 1/20, and type C with probability 1/30. a) If all 600 chips are mixed together and one is selected at random, what is the probability of its being defective? b) Given that the selected chip in part (a) is defective, what is the probability that it is type A?
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