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The students in one college have the following rating system for their professors: excellent, good, fair,...

The students in one college have the following rating system for their professors: excellent, good, fair, and bad. In a recent poll of the students, it was found that they believe that 20% of the professors are excellent, 50% are good, 20% are fair, and 10% are bad. Assume that 12 professors are randomly selected from the college. What is the probability that 4 are excellent and 3 are good?

A. 0.0111

B. 0.0135

C. 0.0213

D. 0.0222

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