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1998 AMC 8 Question 19

AMC8 · 1998 AMC 8

Question 19

Tamika selects two different numbers at random from the set $\{8,9,10\}$ and adds them. Carlos takes two different numbers at random from the set $\{3,5,6\}$ and multiplies them. What is the probability that Tamika’s result is greater than Carlos’ result?
  1. $\dfrac{4}{9} $
  2. $\dfrac{5}{9} $
  3. $\dfrac{1}{2} $
  4. $\dfrac{1}{3} $
  5. $\dfrac{2}{3} $