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9) A supermarket buys its eggs from three different chicken ranches. They buy 1/3 of their eggs from Eggs'R Us, 1/2of their eggs from The Yolk Ranch, and 1/6 of their eggs from Cheap Eggs. The supermarket determines that 1% of the eggs from Eggs'R Us are cracked, 2% of the eggs from the Yolk Ranch are cracked, and 4% of the eggs from Cheap Eggs are cracked. a) Draw the tree. b) Find the probability that an egg chosen at random is from Cheap Eggs, given that the egg is cracked