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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. Gracyn is looking for 2 poetry books. What is the probability that the first book is a poetry book and the second is not? Write your answer as a percentage, rounded to the nearest tenth.
To find the probability that the first book is a poetry book and the second is not, we will calculate it in two steps: 1. Find the probability of the first book being a poetry book. 2. Find the probability of the second book not being a poetry book. Since there are 6 genres, the probability of getting a poetry book as the first pick is 1/6, while the probability of getting a non-poetry book as the second pick is 5/6 (because 5 genres out of 6 are not poetry). Now, we multiply the probabilities of these independent events: Probability = (1/6) * (5/6) = 5/36 To convert this probability to a percentage, we divide 5 by 36 and multiply the result by 100: Percentage = (5/36) * 100 ≈ 13.9% So, the probability that the first book is a poetry book and the second is not is approximately 13.9%.
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