1.

If A and B are any two events, then the probability that exactly one of them occur is                                   [BIT Ranchi 1990; IIT 1984; RPET 1995, 2002; MP PET 2004]

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.                                                                               \[P\,(A)+P\,(B)-2P\,(A\cup B)\]
Answer» C.                                                                                \[P\,(A)+P\,(B)-P\,(A\cup B)\]


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