Answer
$\frac{11}{21}$
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: No Independents.
A: Democrats or Republicans
B: Democrats or Republicans given that one has already been selected
P(A) = $\frac{11}{15}$
P(B) =$\frac{10}{14}$
P(E) = $\frac{11}{15}$ .$\frac{10}{14}$
P(E)=$\frac{11}{21}$