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. The probability that the sum of the two numbers on the balls removed is even is
Answer Choices
A. \dfrac{4}{9}
B. \dfrac{9}{19}
C. \dfrac{1}{2}
D. \dfrac{10}{19}
E. \dfrac{5}{9}