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1979 AMC 12 Question 27

AMC12 · 1979 AMC 12

Question 27

An ordered pair $(b,c)$ of integers, each of which has absolute value less than or equal to five, is chosen at random, with each such ordered pair having an equal likelihood of being chosen. What is the probability that the equation $x^2+bx+c=0$ will *not* have distinct positive real roots?
  1. $\frac{106}{121}$
  2. $\frac{108}{121}$
  3. $\frac{110}{121}$
  4. $\frac{112}{121}$
  5. none of these