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Home » When Back in 12 AM Midnight: This Shocking Timing Changes EVERYthing! - Dachbleche24

When Back in 12 AM Midnight: This Shocking Timing Changes EVERYthing! - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Birds doing neither: \( 40 - 34 = 6 \)

📌 A volcanologist monitors three seismic sensors near a volcano. Sensor A detects activity 80% of the time, Sensor B 70%, and Sensor C 60%. All three detect simultaneously in 30% of active periods. Assuming independence for estimation, what percentage of active periods do exactly two sensors detect the activity?

📌 Let total active period be 1000 units.

📌 \( P(A) = 0.8 \), \( P(B) = 0.7 \), \( P(C) = 0.6 \)

📌 \( P(A \cap B \cap C) = 0.3 \)

📌 Exactly two detections = \( [P(A \cap B) + P(B \cap C) + P(A \cap C)] - 3 \times P(A \cap B \cap C) \)

📌 Assuming independence:

📌 \( P(A \cap B) = 0.8 \times 0.7 = 0.56 \), \( P(B \cap C) = 0.7 \times 0.6 = 0.42 \), \( P(A \cap C) = 0.8 \times 0.6 = 0.48 \)

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