A professor has made 30 exams of which 8 are "hard", 12 are "reasonable" and 10 are "easy". The exams are mixed up and the professor selects four of them at random to give to four sections of the course she is teaching. Let X denote the number of "hard" exams chosen, and Y denote the number of "easy" exams chosen. Find P(x< y)? O a. 0.623 o b. 0.562 O c. 0.441 o d. 0.458

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