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Question: A bookstore sells random wrapped books, where the reader does not know the genre before purchasing. Each wrapped book is from one of 6 genres. Victoria is looking for four mystery books. What is the probability that none of the books are mystery? Write your answer as a percentage, rounded to the nearest tenth.
We can calculate the probability of choosing a non-mystery book by noticing that there are 5 non-mystery genres out of the total 6 genres. So, the probability of choosing one non-mystery book is 5/6. Since Victoria is choosing four books, and we assume the choices are independent, we can multiply the probabilities for each individual book together: (5/6) * (5/6) * (5/6) * (5/6) = (625/1296) To get the percentage, we divide 625 by 1296 and multiply by 100: (625/1296) * 100 ≈ 48.2% So, the probability that none of the four books are mystery is approximately 48.2%, rounded to the nearest tenth.
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