What is the probability that all three are white? given, Ask an Expert

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Bowl I contains 7 red and 3 white chips and bowl II has 4 red and 6 white chips. Two chips are selected at random and without replacement from I and transferred to II. Three chips are then selected at random without replacement from II:

i. What is the probability that all three are white?
ii. Given that three white chips are selected from II, what is the probability that two white chips were transferred from I?

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