Question

A batch of 422 containers for frozen orange juice contains 6 that are defective. Two are...

A batch of 422 containers for frozen orange juice contains 6 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).

Enter your answer in accordance to the item a) of the question statement

b) What is the probability that both are defective? Round your answer to seven decimal places (e.g. 98.7654321).

Enter your answer in accordance to the item b) of the question statement

c) What is the probability that both are acceptable? Round your answer to three decimal places (e.g. 98.765).

Enter your answer in accordance to the item c) of the question statement

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).

Enter your answer in accordance to the item d) of the question statement

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).

Enter your answer in accordance to the item e) of the question statement

f) What is the probability that all three are defective? Round your answer to three decimal places (e.g. 98.765).

Enter your answer in accordance to the item f) of the question statement

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