A batch of 516 containers for frozen orange juice contains 9 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? Round your answer to five decimal places (e.g. 98.76543). b) What is the probability that both are defective? Round your answer to seven decimal places (e.g. 98.7654321). c) What is the probability that both are acceptable? Round your answer to three decimal places (e.g. 98.765).

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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A batch of 516 containers for frozen orange juice contains 9 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? Round your answer to five
decimal places (e.g. 98.76543).
b) What is the probability that both are defective? Round your answer to seven decimal places (e.g. 98.7654321).
c) What is the probability that both are acceptable? Round your answer to three decimal places (e.g. 98.765).
Three containers 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 one selected were defective? Round
your answer to three decimal places (e.g. 98.765).
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 okay? Round your answer to five decimal places (e.g. 98.76543).
1) What is the probability that all three are defective? Round your answer to three decimal places (e.g. 98.765).
either
Transcribed Image Text:A batch of 516 containers for frozen orange juice contains 9 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? Round your answer to five decimal places (e.g. 98.76543). b) What is the probability that both are defective? Round your answer to seven decimal places (e.g. 98.7654321). c) What is the probability that both are acceptable? Round your answer to three decimal places (e.g. 98.765). Three containers 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 one selected were defective? Round your answer to three decimal places (e.g. 98.765). 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 okay? Round your answer to five decimal places (e.g. 98.76543). 1) What is the probability that all three are defective? Round your answer to three decimal places (e.g. 98.765). either
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