A batch of 500 containers for frozen orange juice con tains five that are defective. Two are selected, at random, with- out 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 acceptable? Three containers are selected, at random, without replace ment, from the batch.

(d) What is the probability that the third one selected is de- fective 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 okay?

(f) What is the probability that all three are defective?