Let $\mathrm{E}^{\mathrm{c}}$ denote the complement of an event E . Let $\mathrm{E}, \mathrm{F}, \mathrm{G}$ be pairwise independent events with $\mathrm{P}(\mathrm{G})>0$ and $\mathrm{P}(\mathrm{E} \cap \mathrm{F} \cap \mathrm{G}) =0$. Then $\mathrm{P}\left(\mathrm{E}^{\mathrm{C}} \cap \mathrm{F}^{\mathrm{C}} \mid \mathrm{G}\right)$ equals