A) \[P\,(A)+P\,(B)-P\,(A\cap B)\]
B) \[P\,(A)+P\,(B)-2P\,(A\cap B)\]
C) \[P\,(A)+P\,(B)-P\,(A\cup B)\]
D) \[P\,(A)+P\,(B)-2P\,(A\cup B)\]
Correct Answer: B
Solution :
Required probability \[=A\] occurs and \[B\] does not occur or B occurs and \[A\] does not occur \[=P(A\cap \bar{B})+P(\bar{A}\cap B)\] \[=P(A)-P(A\cap B)+P(B)-P(A\cap B)\] \[=P(A)+P(B)-2P(A\cap B)\].
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