\left( {1 - q} \right)\sum\limits_{i = 1}^{k - 2} {p^i \left( {1 - p} \right)^{k - i} \left( {\sum\limits_\begin{array}{c}
 J \subseteq \left\{ {1,...,k} \right\} \\ 
 \left| J \right| = i \\ 
 j_1 ,...,j_{k - i} \in J^C \\ 
 j_1 < ... < j_{k - i} \\ 
 \end{array} {} } \right.}