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Let $U_{1}, U_{2}, U_{3}$ be independent random variables that are each uniformly distributed between zero and one. What is the probability that the second highest value amongst the three lies between $1 / 3$ and $2 / 3?$ 

  1. $\frac{2}{9}$
  2. $\frac{1}{27}$
  3. $\frac{13}{27}$
  4. $\frac{1}{3}$
  5. $\frac{7}{18}$
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