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2004 AMC 10B Question 11

AMC10 · 2004 AMC 10B

Question 11

Two eight-sided dice each have faces numbered $1$ through $8.$ When the dice are rolled, each face has an equal probability of appearing on the top. What is the probability that the product of the two top numbers is greater than their sum?
  1. $\dfrac{1}{2}$
  2. $\dfrac{47}{64}$
  3. $\dfrac{3}{4}$
  4. $\dfrac{55}{64}$
  5. $\dfrac{7}{8}$