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Home » But inequality: \( t > 20 \), so smallest integer t is 21. - RTA

But inequality: \( t > 20 \), so smallest integer t is 21. - RTA

📅 May 9, 2026 👤 scraface

May 09, 2026

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📌 \frac{1900 - 1800}{4} + 1 = \frac{100}{4} + 1 = 25 + 1 = 26

📌 There are 101 total years (from 1800 to 1900 inclusive).

📌 So the probability that a single randomly chosen year is divisible by 4 is:

📌 \frac{26}{101}

📌 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?

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