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large clump of clear jelly discharge - Deep Underground Poetry

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Question: A bag contains 5 red chips, 7 green chips, and 3 blue chips. If 4 chips are drawn without replacement, what is the probability that exactly 2 are green and 2 are red?

📌 Solution: This is a hypergeometric probability problem.

📌 Total chips: $ 5 + 7 + 3 = 15 $.

📌 We want the probability of drawing exactly 2 green and 2 red chips:

📌 P = \frac{\binom{7}{2} \cdot \binom{5}{2}}{\binom{15}{4}}

📌 $ \binom{7}{2} = \frac{7 \cdot 6}{2} = 21 $

📌 $ \binom{5}{2} = \frac{5 \cdot 4}{2} = 10 $

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