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Home » Total number of ways to choose 3 from 10: - Dyverse

Total number of ways to choose 3 from 10: - Dyverse

📅 March 11, 2026 👤 scraface

Mar 11, 2026

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The formula for the binomial probability is:
P(X = k) = \binom{n}{k} p^k (1-p)^{n-k}
Substitute \( n = 7 \), \( k = 4 \), and \( p = \frac{1}{2} \):
P(X = 4) = \binom{7}{4} \left( \frac{1}{2} \right)^4 \left( \frac{1}{2...
Calculate \( \binom{7}{4} \):
\binom{7}{4} = \frac{7 \times 6 \times 5}{3 \times 2 \times 1} = 35
So, the probability becomes:
P(X = 4) = 35 \times \left( \frac{1}{2} \right)^7 = 35 \times \frac{1}...
Thus, the probability that exactly 4 stations detect an earthquake is...
Question:** A historian of science is cataloging 5 unique ancient manu...

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