A) \[P\left( \overline{A} \right).P\left( \overline{B} \right)\]
B) \[1-P\left( \overline{A} \right)-P\left( \overline{B} \right)\]
C) \[P\left( B \right)-P\left( A\cap B \right)\]
D) \[P\left( A \right)+P\left( B \right)-P\left( A\cap B \right)\]
Correct Answer: C
Solution :
[c] \[\because P\left( \overline{A}\cap B \right)\] \[=P\left[ \left( B-A\cap B \right)\cap B \right]\] \[=P\left[ \left( B \right)-\left( A\cap B \right) \right]\] \[=P\left( B \right)-P\left( A\cap B \right).\]
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