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प्रश्न
If A and B are any two events of S and \[P(F)\neq 0\], which formula is correct?
पर्याय
\[P((A\cup B)\mid F)=1-P((A\cap B)\mid F)\]
\[P((A\cup B)\mid F)=P(A\mid F)+P(B\mid F)-P((A\cap B)\mid F)\]
\[P((A\cup B)\mid F)=P(A\mid F)+P(B\mid F)+P((A\cap B)\mid F)\]
\[P((A\cup B)\mid F)=P(A\mid F)\cdot P(B\mid F)\]
MCQ
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उत्तर
The probabilities of A and B under F are added, but common outcomes are counted twice. Therefore \[P((A\cap B)\mid F)\] must be subtracted once.
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