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Home » The Shocking Truth About the Microsoft Founders That Will Rewire Your View of Tech History! - Malaeb

The Shocking Truth About the Microsoft Founders That Will Rewire Your View of Tech History! - Malaeb

📅 May 2, 2026 👤 scraface

May 02, 2026

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📌 Question: An entomologist is observing 20 different insect species in a field study. If she selects 6 species at random for behavioral tracking, what is the probability that exactly 4 of them belong to a group of 8 closely related species?

📌 We use combinations to compute the probability.

📌 Total number of ways to choose 6 species from 20:

📌 \binom{20}{6}

📌 Number of favorable outcomes (choosing 4 from the 8 related and 2 from the remaining 12):

📌 \binom{8}{4} \cdot \binom{12}{2}

📌 \binom{8}{4} = 70,\quad \binom{12}{2} = 66,\quad \binom{20}{6} = 38760

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