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Home » \boxed\frac4(\sqrtx - 2)x - 4 - Dachbleche24

\boxed\frac4(\sqrtx - 2)x - 4 - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 \binom{30}{2} = \frac{30 \cdot 29}{2} = 435,\quad \binom{90}{3} = \frac{90 \cdot 89 \cdot 88}{6} = 117480,\quad \binom{120}{5} = \frac{120 \cdot 119 \cdot 118 \cdot 117 \cdot 116}{120} = 190578024

📌 \frac{435 \cdot 117480}{190578024} = \frac{51109800}{190578024} \approx 0.268

📌 Final probability is:

📌 \boxed{0.268}

📌 Question: An entomologist is tracking 15 species of pollinating insects in a controlled ecosystem. If she randomly selects 4 species for a detailed genetic analysis, what is the probability that a specific rare species is included in the selection?

📌 To find the probability that a specific species is among the 4 selected, fix one species to be included and choose the remaining 3 from the other 14 species.

📌 Total number of ways to choose 4 species from 15:

📌 Number of favorable outcomes (choosing the specific species and 3 from the other 14):

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