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Home » Solve for \(b^2\): - Carbonext

Solve for \(b^2\): - Carbonext

📅 February 27, 2026 👤 scraface

Feb 27, 2026

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📌 A box contains 5 red, 4 blue, and 3 green balls. Two balls are drawn at random without replacement. What is the probability both are red?

📌 Total balls = 12. Probability first red = \(rac{5}{12}\).

📌 After one red is drawn, 4 red left, 11 total. Probability second red = \(rac{4}{11}\).

📌 Multiply: \(rac{5}{12} imes rac{4}{11} = rac{20}{132} = rac{5}{33}\).

📌 A 15-meter ladder leans against a wall, reaching a height of 12 meters. How far is the base from the wall?

📌 Let \(a\) be the distance from the wall. Then \(a^2 + 12^2 = 15^2\).

📌 So, \(a^2 + 144 = 225\) â \(a^2 = 81\) â \(a = 9\).

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