You conduct a 1-way ANOVA with 3 levels and find a statistically significant result (using $\displaystyle \alpha={0.01}$).  You intend to follow this up with a post hoc analysis.  In particular, you plan to examine all pairwise (simple) contrasts.  You retain the same nominal significance level for all tests.  What is the probability of making at least one Type-I error?

How many simple contrasts will you need to examine? 

What is the family-wise (experiment-wise) significance level?
$\displaystyle \alpha_{{\text{fw}}}=$
      (report accurate to 4 decimal places)