Question: 4.9 Urn A and Urn B initially contain four marbles, of which two are white and two are black. A machine simultaneously chooses one marble

4.9 Urn A and Urn B initially contain four marbles, of which two are white and two are black.

A machine simultaneously chooses one marble from each urn (“at random,” and independently for the two urns) and exchanges them. What is the expected number of exchanges until all the white marbles are in one urn?

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