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Home » Biggest Bed Size Ever — Wake Up Like a King Every Morning! - Sterling Industries

Biggest Bed Size Ever — Wake Up Like a King Every Morning! - Sterling Industries

📅 April 17, 2026 👤 scraface

Apr 17, 2026

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📌 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

📌 Thus, the probability that site 7 is selected is:

📌 \frac{36}{120} = \frac{3}{10}

📌 \boxed{\frac{3}{10}}

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