Question: A teacher writes an exam with 20 problems. There is a 5% chance that any problem has a mistake. The teacher tells the class that

A teacher writes an exam with 20 problems. There is a 5% chance that any problem has a mistake. The teacher tells the class that if the exam has three or more problems with mistakes he will give everyone an A. The teacher repeats this in 10 different classes. Find the probability that the teacher gave out all A’s at least once.

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