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2. Scrooge is getting ready for the 104 Duck Fashion Show. Scrooge has 3 hats (yellow, black, green), 9 shirts (3 of which are

2. Scrooge is getting ready for the 104 Duck Fashion Show. Scrooge has 3 hats (yellow, black, green), 9 shirts (3 of which are yellow, and 6 of which are green), and 7 bowties (all of which are blue). Scrooge selects each of his outfit uniformly at random and independently. What is the probability that his hat and shirt will be different colors?

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