A batch of 500 semiconductor devices contains 25 that are defective. Two are  selected, at random, without replacement from the batch. (a) What is the probability that the second one selected is defective given that the  first one was defective? (b) What is the probability that both are defective? (c) What is the probability that both are not defect? If three devices are selected at random without replacement from the batch; (d) What is the probability that the third one selected is defective given that the  first and second ones selected were defective? (e) What is the probability that the third one selected is defective given that the  first one selected was defective and the second one selected was not defect? (f) What is the probability that all three devices are defective?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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A batch of 500 semiconductor devices contains 25 that are defective. Two are 
selected, at random, without replacement from the batch.
(a) What is the probability that the second one selected is defective given that the 
first one was defective?
(b) What is the probability that both are defective?
(c) What is the probability that both are not defect?
If three devices are selected at random without replacement from the batch;
(d) What is the probability that the third one selected is defective given that the 
first and second ones selected were defective?
(e) What is the probability that the third one selected is defective given that the 
first one selected was defective and the second one selected was not defect?
(f) What is the probability that all three devices are defective?

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