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1987 AMC 8 Question 25

AMC8 · 1987 AMC 8

Question 25

Ten balls numbered $1$ to $10$ are in a jar. Jack reaches into the jar and randomly removes one of the balls. Then Jill reaches into the jar and randomly removes a different ball. What is the probability that the sum of the two numbers on the balls removed is even?
  1. $\dfrac{4}{9}$
  2. $\dfrac{9}{19}$
  3. $\dfrac{1}{2}$
  4. $\dfrac{10}{19}$
  5. $\dfrac{5}{9}$