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Sarah spent yesterday evening cramming for an exam. While studying, she intensely reviewed the professor's lecture slides and noticed typo's all throughout at a rate

Sarah spent yesterday evening cramming for an exam. While studying, she intensely reviewed the professor's lecture slides and noticed typo's all throughout at a rate of 2 typos per 15 slides.

Assuming the professor doesn't get his act together and continues at this rate, what is the probability that there will be 6 or more typos on the next 30 slides the professor produces? (four decimal places)

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