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Home » haven't you heard i'm sakamoto - Baxtercollege

haven't you heard i'm sakamoto - Baxtercollege

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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📌 So, the probability is:

📌 \frac{\binom{14}{3}}{\binom{15}{4}} = \frac{\frac{14 \cdot 13 \cdot 12}{6}}{\frac{15 \cdot 14 \cdot 13 \cdot 12}{24}} = \frac{364}{1365} = \frac{4}{15}

📌 Final probability:

📌 \boxed{\frac{4}{15}}

📌 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):

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\frac{146}{1296} = \boxed{\frac{73}{648}}
Final Answer:** $ \boxed{\frac{73}{648}} $
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