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AMC 12 2011a Problem 14

  • Paper

Suppose aa and bb are single-digit positive integers chosen independently and at random. What is the probability that the point (a,b)(a,b) lies above the parabola y=ax2−bxy=ax^2-bx?

\textbf{(A)}\ \frac{11}{81} \textbf{(B)}\ \frac{13}{81} \textbf{(C)}\ \frac{5}{27} \textbf{(D)}\ \frac{17}{81} \textbf{(E)}\ \frac{19}{81}

Dataset text AMC 12 2000 to 2025. Quoted with source.

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E

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