Solve this following

Question:

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:

 

  1. $P(A)+P(\bar{B})$

  2. $P(\bar{A})-P(\bar{B})$

  3. $P(\bar{A})-P(B)$

  4. $P(\overline{\mathrm{A}})+\mathrm{P}(\overline{\mathrm{B}})$


Correct Option: 3,

Solution:

Solution not required

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