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Home » Ice Age Secrets! The Continental Drift That Shook Ancient Earth Forever! - Dachbleche24

Ice Age Secrets! The Continental Drift That Shook Ancient Earth Forever! - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \binom{5}{2} \cdot \binom{7}{1} = 10 \cdot 7 = 70

📌 \frac{70}{220} = \frac{7}{22}

📌 \boxed{\frac{7}{22}}

📌 Question: A geotechnical engineer is testing soil samples from 10 different sites, each labeled from 1 to 10. If 3 sites are selected at random for detailed analysis, what is the probability that site 7 is included?

📌 Solution: The total number of ways to choose 3 sites from 10 is:

📌 \binom{10}{3} = 120

📌 To count the number of favorable outcomes (site 7 is included), we fix site 7 and choose 2 more sites from the remaining 9:

📌 \binom{9}{2} = 36

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