Answer
$\frac{4}{35}$
Work Step by Step
If A and B are dependent events, then P(A and B) = P(A)*P(B given that A has occurred)
E: An Independent and then a Republican.
A: Independent
B: A Republican given that an Independent is first selected.
P(A) = $\frac{4}{15}$
P(B) =$\frac{6}{14}$
P(E) = $\frac{4}{15}$ .$\frac{6}{14}$
P(E)=$\frac{4}{35}$