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Home » Now compute \( f(g(4)) = f(3) \): - Blask

Now compute \( f(g(4)) = f(3) \): - Blask

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 Question: A historian studies 8 ancient scrolls, each with a 5% chance of containing a specific cryptographic symbol. What is the probability that at least 1 scroll contains the symbol?

📌 Solution: The complementary probability of no scrolls containing the symbol is $(0.95)^8$. Thus:

📌 - (0.95)^8 \approx 1 - 0.6634 = 0.3366

📌 The probability is $\boxed{0.3366}$.

📌 Question: An AI-driven agricultural system monitors 6 crop fields, each with a 20% chance of requiring immediate irrigation. What is the probability that exactly 2 fields require irrigation?

📌 Solution: Using the binomial formula:

📌 \binom{6}{2} (0.20)^2 (0.80)^4 = 15 \cdot 0.04 \cdot 0.4096 = 0.24576

📌 The probability is $\boxed{0.2458}$.Question: What is the remainder when the sum of the first 5 terms of the sequence $ a_n = 3n + 2 $ is divided by 7?

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