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12. Suppose a traditional painter and a contemporary painter are each asked separately to create artwork for the lobby of a company. Assume one piece is created by each. The probability that the traditional painter is commissioned for more work is 2/3 while there is a 2/5 probability that the contemporary painter is commissioned. There is a 3/4 probability that at least one of them will be commissioned a. What is the probability that both are commissioned? b. What is the probability that the traditional painter was the one commissioned given that only one of them was commissioned? c. What is the probability that neither is commissioned?

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