Let $A, B$ and $C$ be three events, which are pair-wise independent and $\bar{E}$ denotes the complement of an event E. If $\mathrm{P}(\mathrm{A} \cap \mathrm{B} \cap \mathrm{C})=0$ and $\mathrm{P}(\mathrm{C})>0$, then $\mathrm{P}[(\overline{\mathrm{A}} \cap \overline{\mathrm{B}}) \mid \mathrm{C}]$ is equal to: