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Two independent random variables $X$ and $Y$ are uniformly distributed in the interval $[-1,1]$. The probability that max$[X,Y]$ is less than $\frac{1}{2}$ is

  1. $\frac{3}{4}$
  2. $\frac{9}{16}$
  3. $\frac{1}{4}$
  4. $\frac{2}{3}$
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