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what's the score of the chicago bear game - RTA

📅 May 11, 2026 👤 scraface

May 11, 2026

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📌 5Question: A chemical engineer is testing 12 different catalyst combinations to optimize a reaction. If 4 combinations are selected at random for detailed analysis, what is the probability that the most effective combination (known to be among the 12) is included?

📌 Solution: To compute the desired probability, we begin by determining the total number of ways to choose 4 combinations from 12:

📌 Now, we count the number of favorable outcomes—those that include the most effective combination. If the most effective one is included, we must choose the remaining 3 combinations from the other 11:

📌 The probability that the most effective combination is among the 4 selected is:

📌 Question: A civil engineer is selecting 3 types of sustainable concrete mixtures from a pool of 9 for testing. What is the probability that a specific high-strength mixture is among the selected 3?

📌 Solution: The total number of ways to choose 3 mixtures from 9 is:

📌 To count the favorable outcomes (where the high-strength mixture is included), we fix that mixture and choose the other 2 from the remaining 8:

📌 Thus, the probability that the high-strength mixture is selected is:

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