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'12. Home has 4 green marbles and 5 red marbles. Box 5 has 3 green marbles and 2 red marbles. A marble is selected at

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'12. Home has 4 green marbles and 5 red marbles. Box 5 has 3 green marbles and 2 red marbles. A marble is selected at random from box 3 and is put into box A. Then a marble is selected at random from box A. a. Find the probability that the marble selected from box A is green. b. Find the probability that the marble selected from box 5 is green, given that the marble selected from boxA is green

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