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Hi I'm working with probability as part of an engineering course, and I'm struggling with the following tutorial question: Components of a certain type are shipped to a supplier in batches of ten. Suppose that 50% of all such batches contain no defective components, 35% contain one defective component while 15% contain two defective components. If two components are randomly selected from the batch. What are the probabilities associated with 0, 1 and 2 defective components being in the batch under each of the following conditions? a) Neither selected component is defective. b) One of the two components is defective. c) Both components are defective.

I've considered using hypergeometric probability distribution for events P(35%) and P(15%) while comparing to P(50%) but this yields no result.

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    Have you learned about the law of total probability? I would suggest that you try and solve the simpler problem of one item being selected at random from a randomly selected batch and finding the probability that it is defective, and then tackle the problem of two items.2012-08-31

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