Let A, B and C be three events, which are pair-wise independent and $\overrightarrow E $ denotes the completement of an event E. If $P\left( {A \cap B \cap C} \right) = 0$ and $P\left( C \right) > 0,$ then $P\left[ {\left( {\overline A \cap \overline B } \right)\left| C \right.} \right]$ is equal to :
$P\left( {\overline A } \right) - P\left( B \right)$
$P\left( A \right) + P\left( {\overline B } \right)$
$P\left( {\overline A } \right) - P\left( {\overline B } \right)$
$P\left( {\overline A } \right) + P\left( {\overline B } \right)$
Solution
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