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Two urns contain both black and white marbles. Urn 1 contains 5 white marbles and 8 black marbles. Urn 2 contains 6 white marbles and 10 black marbles.

a. In one experiment, one marble is selected at random from Urn 1 and one marble is selected at random from Urn 2 at the same time. What is the probability that both marbles are white?

b. In a second experiment, one marbles is selected at random from Urn 1 and placed into Urn 2, and then a marble is randomly selected from Urn 2. What is the probability that the marble selected from Urn 2 is white given that the marble selected from Urn 1 was also white?

c. In the second experiment, what is the probability that both marbles selected are white?

d. In the second experiment, what is the probability that the marble selected from Urn 1 was black given that the marble selected from Urn 2 is white?

 

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