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At the Oscars there is a film nominated for Best Picture, Best Director, Best Actor and Best Actress. Let's assume there are 5 nominees in

At the Oscars there is a film nominated for Best Picture, Best Director, Best Actor and Best Actress. Let's assume there are 5 nominees in the 4 categories. (a) Calculate the probability this film wins all four categories. (b) What assumption did you make in (a). Is this assumption reasonable

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