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Home » From Obscurity to Stardom: Jonathan Hellyer Jones’s Shocking Rise Explained! - Moon Smoking

From Obscurity to Stardom: Jonathan Hellyer Jones’s Shocking Rise Explained! - Moon Smoking

📅 May 14, 2026 👤 scraface

May 14, 2026

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📌 This is a binomial probability problem where we have \( n = 7 \) trials (seismic stations), each with a probability \( p = \frac{1}{2} \) of detecting an earthquake. We want to find the probability of exactly \( k = 4 \) successes (detections).

📌 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} \right)^{3}

📌 Calculate \( \binom{7}{4} \):

📌 \binom{7}{4} = \frac{7 \times 6 \times 5}{3 \times 2 \times 1} = 35

📌 So, the probability becomes:

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