A boxcar contains six complex electronic systems. Two of the six are to be randomly selected for thorough testing and then classified as defective or not defective. (Enter your probabilities as fractions.) (a) If three of the six systems are actually defective, find the probability that at least one of the two systems tested will be defective. Find the probability that both are defective. (b) If five of the six systems are actually defective, find the probability that at least one of the two systems tested will be defective. Find the probability that both 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 boxcar contains six complex electronic systems. Two of the six are to be randomly selected for thorough testing and then classified as defective or not defective. (Enter your
probabilities as fractions.)
(a) If three of the six systems are actually defective, find the probability that at least one of the two systems tested will be defective.
Find the probability that both are defective.
(b) If five of the six systems are actually defective, find the probability that at least one of the two systems tested will be defective.
Find the probability that both are defective.
Transcribed Image Text:A boxcar contains six complex electronic systems. Two of the six are to be randomly selected for thorough testing and then classified as defective or not defective. (Enter your probabilities as fractions.) (a) If three of the six systems are actually defective, find the probability that at least one of the two systems tested will be defective. Find the probability that both are defective. (b) If five of the six systems are actually defective, find the probability that at least one of the two systems tested will be defective. Find the probability that both are defective.
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