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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. Raven is looking for 3 dramas. What is the probability that each book is a drama? Write your answer as a percentage, rounded to the nearest tenth.
To calculate the probability, we'll assume that each genre has an equal chance of being selected. 1. The probability of the first book being a drama is 1/6 (since there are 6 genres and we are looking for a drama). 2. The probability of the second book being a drama as well is also 1/6. 3. The probability of the third book being a drama is again 1/6. Now, to find the probability of all three books being dramas, we multiply the individual probabilities together: Probability = (1/6) * (1/6) * (1/6) = 1/216 To express this as a percentage, we'll multiply the probability by 100: Percentage = (1/216) * 100 ≈ 0.463% So, the probability of getting 3 dramas is approximately 0.5% when rounded to the nearest tenth.
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