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Home » Substituting \(s = 6\), we have: - wispro

Substituting \(s = 6\), we have: - wispro

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 Question: A food scientist is developing a new low-sugar snack bar and tests 10 different formulations. If she randomly selects 3 for nutritional analysis, what is the probability that at least two of them are among the top 4 most promising candidates?

📌 We calculate the probability of selecting **exactly 2** or **exactly 3** of the top 4 formulations, and sum them.

📌 Total number of ways to choose 3 from 10:

📌 Number of favorable outcomes:

📌 Exactly 2 from top 4 and 1 from the rest:

📌 \binom{4}{2} \cdot \binom{6}{1} = 6 \cdot 6 = 36

📌 Exactly 3 from top 4:

📌 Total favorable:

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