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Home » Total time: \(1.5 + 2 = 3.5\) hours. - ECD Germany

Total time: \(1.5 + 2 = 3.5\) hours. - ECD Germany

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Question: A chemical engineer is analyzing 10 different temperature settings for a reactor. If 5 settings are randomly chosen for calibration, what is the probability that a critical temperature (known to be among the 10) is included?

📌 Solution: The total number of ways to choose 5 settings from 10 is:

📌 To count the favorable outcomes where the critical temperature is included, we fix that temperature and choose the remaining 4 from the other 9:

📌 The probability that the critical temperature is among the selected 5 is:

📌 Question: A civil engineer is choosing 4 materials from a list of 15 to construct a resilient bridge. What is the probability that a specific composite material, known to enhance durability, is among the selected 4?

📌 Solution: The total number of ways to choose 4 materials from 15 is:

📌 To count the favorable outcomes where the durable composite is included, we fix it and choose the remaining 3 from the other 14:

📌 Thus, the probability that the composite material is selected is:

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