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Home » Arithmetic properties of the motivic Galois group, arXiv:1206.4433, 2012 - Crankk.io

Arithmetic properties of the motivic Galois group, arXiv:1206.4433, 2012 - Crankk.io

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 Area of the square is \(10^2 = 100\) cm\(^2\).

📌 Area of the circle is \(\pi \times 5^2 = 25\pi\) cm\(^2\).

📌 Area of the region is \(100 - 25\pi\).

📌 Using \(\pi \approx 3.14\), the area is \(100 - 78.5 = 21.5\) cm\(^2\).

📌 The probability of drawing a red card from a standard deck is \(\frac{1}{2}\). If two cards are drawn without replacement, find the probability that both are red.

📌 Probability of first red card: \(\frac{26}{52} = \frac{1}{2}\).

📌 Probability of second red card: \(\frac{25}{51}\).

📌 Combined probability: \(\frac{1}{2} \times \frac{25}{51} = \frac{25}{102}\).

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