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intel core i7-10700k - Deep Underground Poetry

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 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:

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

📌 Sum: \( 0.56 + 0.42 + 0.48 = 1.46 \)

📌 Subtract overcount: \( 1.46 - 3 \times 0.3 = 1.46 - 0.9 = 0.56 \)

📌 So 56% detect exactly two.

📌 An entomologist uses DNA barcoding to identify pollinators. Out of 180 insect samples, 105 carry pollen from apple trees, 95 from cherry trees, and 40 carry pollen from both. How many samples carry pollen from only one type of tree?

📌 Samples with apple only: \( 105 - 40 = 65 \)

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