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Bob is planning a dinner party at a restaurant. The dinner will have three courses. Bob gets to choose 2 appetizers, 3 mains, and 1

Bob is planning a dinner party at a restaurant. The dinner will have three courses. Bob gets to choose 2 appetizers, 3 mains, and 1 dessert to put on the dinner menu for his guests. The restaurant provides him the following options to create his custom menu

Appetizer (5): A, B, C, D, E

Main (9): A, B, C, D, E, F, G, H, I

Dessert (3): A, B, C

Bob randomly creates his custom menu from the above lists. Compute the probability the menu does not contain any letter past D (D is ok, E is not).

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