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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. Carl is looking for a science fiction book and a romance novel. What is the probability that Carl's 2 books are what he is looking for? Write your answer as a percentage, rounded to the nearest tenth.
To find the probability that Carl gets a science fiction book and a romance novel, we need to multiply the probability of each event. The probability of picking a science fiction book from 6 genres is 1/6 (as there's 1 science fiction genre and 6 genres in total). After picking the first book, there are now 5 genres left. The probability of picking a romance novel from the remaining 5 genres is 1/5 (1 romance genre and 5 genres in total). To find the probability of both events occurring, we multiply the probabilities: (1/6) * (1/5) = 1/30 Now, to convert this to a percentage, we divide by the total probability (1) and multiply by 100: (1/30) ÷ 1 * 100 ≈ 3.3% So, the probability that Carl's 2 books are a science fiction book and a romance novel is approximately 3.3% (rounded to the nearest tenth).
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