A batch of 590 containers for frozen orange juice haves 3 that are defective. Two are chosen, at random, without replacement from batch.
a) Determine the probability that second one chosen is defective given that first one was defective? Round your answer to five decimal places (e.g. 98.76543).
b) Determine the probability that both are defective? Round your answer to seven decimal places (e.g. 98.7654321).
c) Determine the probability that both are acceptable? Round your answer to three decimal places (e.g. 98.765).
Three containers are chosen, at random, without replacement, from the batch.
d) Determine the probability that the third one chosen is defective given that the first and second one chosen were defective? Round your answer to three decimal places (e.g. 98.765).
e) Determine the probability that the third one chosen is defective given that the first one chosen was defective and second one chosen was okay? Round your answer to five decimal places (e.g. 98.76543).
f) Determine the probability that all three are defective? Round your answer to three decimal places (e.g. 98.765).