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5. The Urn Problem from Peter Norvig’s Talk. An urn contains 23 balls: 8 white, 6...

5. The Urn Problem from Peter Norvig’s Talk. An urn contains 23 balls: 8 white, 6 blue, and 9 red. We select six balls at random (each possible selection is equally likely).

Peter Norvig is assuming that you’re selecting a set of six balls, that is, six distinct balls. In other words, the draws are made without replacement.

Find the probability that:

a) all the balls are red

b) 3 are blue, 2 are white, and 1 is red

c) exactly 4 balls are white

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