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Home » First term \( a = 5 \), common ratio \( r = 3 \) - AIKO, infinite ways to autonomy.

First term \( a = 5 \), common ratio \( r = 3 \) - AIKO, infinite ways to autonomy.

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 Choose 1 blend style from 5: $inom{5}{1} = 5$.

📌 Total combinations: $28 \cdot 5 = 140$.

📌 Thus, the number of distinct combinations is $oxed{140}$.

📌 Question: A researcher analyzing gene expression in 12 modified rice plants finds that 9 show enhanced drought resistance. If 4 plants are randomly selected for detailed genomic sequencing, what is the probability that at least 3 of them have enhanced resistance?

📌 Solution: We compute the probability of exactly 3 or exactly 4 successful selections (enhanced resistance).

📌 Total ways to choose 4 plants: $inom{12}{4} = 495$.

📌 Favorable cases:

📌 Exactly 3 enhanced, 1 not: $inom{9}{3} \cdot inom{3}{1} = 84 \cdot 3 = 252$.

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