A) \[P(A+P(\bar{B})\]
B) \[P(\bar{A})-P(\bar{B})\]
C) \[P(\bar{A})-P(B)\]
D) \[P(\bar{A})+P(\bar{B})\]
Correct Answer: C
Solution :
We need find \[P(\bar{A}\cap \bar{B}\cap |C)=\]shaded portions in Venn Diagram \[=P(\bar{A}\cap \bar{B}\cap |C)=\frac{P(\bar{A}\cap \bar{B}\cap C)}{P(C)}\] \[=\frac{P(C)-P(A\cap C-P(B\cap C)}{P(C)}\] \[=-\frac{P(A).P(C)-P(B).P(C)}{P(C)}\] \[=1-P(A)-P(B)\] \[=P(\bar{A})-P(B)\]You need to login to perform this action.
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