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Home » The sum of the infinite geometric series \( 3 + 1.5 + 0.75 + \ldots \) is: - Abu Waleed Tea

The sum of the infinite geometric series \( 3 + 1.5 + 0.75 + \ldots \) is: - Abu Waleed Tea

📅 March 1, 2026 👤 scraface

Mar 01, 2026

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\frac{40}{120} = \frac{1}{3}
\boxed{\frac{1}{3}}
Question: An entomologist is observing 20 different insect species in...
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...
\binom{8}{4} \cdot \binom{12}{2}
\binom{8}{4} = 70,\quad \binom{12}{2} = 66,\quad \binom{20}{6} = 38760
\frac{70 \cdot 66}{38760} = \frac{4620}{38760} = \frac{77}{646}

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