You are working with a nominal (per contrast) significance level of $\displaystyle \alpha={0.05}$.  Following a statistically significant ANOVA, you wish to test 7 contrasts (some simple & some complex).  What is the probability of making at least one Type-I error?  That is, what is the family-wise (experiment-wise) significance level?
$\displaystyle \alpha_{{\text{fw}}}=$
      (report accurate to 4 decimal places)