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Home » Escape Sequences Java: The Secret Hack Every Developer Uses Now! - Sourci

Escape Sequences Java: The Secret Hack Every Developer Uses Now! - Sourci

📅 April 30, 2026 👤 scraface

Apr 30, 2026

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📌 Since the selections are independent, the probability that all three years are divisible by 4 is:

📌 \left( \frac{26}{101} \right)^3 = \frac{17576}{1030301}

📌 \boxed{\frac{17576}{1030301}}

📌 Question: A historian is analyzing three randomly selected scientific papers from a collection of 12, where 5 are written by Newton and 7 by Leibniz. What is the probability that exactly two of the selected papers are by Newton?

📌 Solution: The total number of ways to choose 3 papers from 12 is:

📌 \binom{12}{3} = 220

📌 To choose exactly 2 papers by Newton and 1 by Leibniz:

📌 \binom{5}{2} \cdot \binom{7}{1} = 10 \cdot 7 = 70

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