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Home » Probability: 6/8 = 3/4. - 500apps

Probability: 6/8 = 3/4. - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 \Rightarrow (x^2 + y^2 + z^2) - 2x - 2z + 2 = 2

📌 \Rightarrow 2 - 2x - 2z + 2 = 2 \Rightarrow -2x - 2z = -2 \Rightarrow x + z = 1

📌 From (2) and (3), we have:

📌 x + y = 1, \quad x + z = 1 \Rightarrow y = z

📌 From the first equation:

📌 x^2 + y^2 + z^2 = 2 \Rightarrow x^2 + 2y^2 = 2

📌 Let’s try integer values. Try $x = 0$:

📌 + 2y^2 = 2 \Rightarrow y^2 = 1 \Rightarrow y = \pm1 \Rightarrow z = \pm1

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