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2011 AMC 12A Question 14

AMC12 · 2011 AMC 12A

Question 14

Suppose $a$ and $b$ are single-digit positive integers chosen independently and at random. What is the probability that the point $(a, b)$ lies above the parabola $y = ax^2 - bx?$
  1. $\dfrac{11}{81}$
  2. $\dfrac{13}{81}$
  3. $\dfrac{5}{27}$
  4. $\dfrac{17}{81}$
  5. $\dfrac{19}{81}$