InterviewSolution
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A, B, C किसी यादृच्छिक प्रयोग के संगत तीन घटनाएँ है तो सिद्ध कीजिए- `P(AuuBuuC)=P(A)+P(B)+P(C)-P(AnnB)-P(AnnC)-P(BnnC)+P(AnnBnnC)` |
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Answer» माना `E=BuuC` `P(AuuBuuC)=P(AuuE)=P(A)+P(E)-P(AnnE)" "......(i)` `P(E)=P(BuuC)=P(B)+P(C)-P(BnnC)" "......(ii)` `AnnE=Ann(BuuC)=(AnnB)uu(AnnC)` `impliesP(AnnE)=P(AnnB)+P(AnnC)-P[(AnnB)nn(AnnC)]` `=P(AnnB)+P(AnnC)-P(AnnBnnC)" "......(iii)` समीकरण (i), (ii), (iii) से `P(AuuBuuC)=P(A)+P(B)+P(C)-P(AnnB)-P(AnnC)-P(BnnC)+P(AnnBnnC)` |
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