AMC 10A 2003 Problem 15

Past Contests AMC 10 AMC 10A - 2003
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What is the probability that an integer in the set \{1,2,3, \ldots, 100\} is divisible by 2 and not divisible by 3 ?

Answer Choices
A. \dfrac{1}{6}
B. \dfrac{33}{100}
C. \dfrac{17}{50}
D. \dfrac{1}{2}
E. \dfrac{18}{25}