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Home » To find the circumference of the circle: - NBX Soluciones

To find the circumference of the circle: - NBX Soluciones

📅 May 5, 2026 👤 scraface

May 05, 2026

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📌 Question: A philosopher of science is analyzing 10 major scientific revolutions over history. If she randomly selects 3 for in-depth philosophical critique, what is the probability that at least one of the top 2 most influential revolutions is included?

📌 We calculate the complementary probability (that neither of the top 2 is selected) and subtract from 1.

📌 Total number of ways to choose 3 revolutions from 10:

📌 Number of ways to choose 3 revolutions excluding the top 2 (i.e., choosing all 3 from the remaining 8):

📌 So, the probability that neither of the top 2 is selected is:

📌 \frac{56}{120} = \frac{7}{15}

📌 Therefore, the probability that at least one of the top 2 is selected is:

📌 - \frac{7}{15} = \frac{8}{15}

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