6. To save time Nivaldo's chemistry professor grades only 3 randomly chosen problems of a 12-problem assignment. Suppose that Nivaldo has 9 out of 12 problems correct on the assignment. a) Compute the probability that the 3 chosen problems are correct (Nivaldo scores 100%). b) Compute the probability that all 3 chosen problems are incorrect (Nivaldo scores 0%). c) Compute the expected value of the number of correct problems chosen by the professor.

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