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A and B are two events such that P(A) = ...

A and B are two events such that `P(A) = 0. 54`, `P(B) = 0. 69`and `P(A nnB) = 0. 35`.Find (i) `P(AuuB)` (ii) `P(A^(prime)nnB^(prime))` (iii) `P(AnnB^(prime))` (iv) `P(BnnA^(prime))`

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The correct Answer is:
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(i) `P(AuuB)=P(A)+P(B)-P(AnnB)`
`=0.54+0.69-0.35`
`=0.88`
(ii) `P(A'nnB')=P(AuuB)'`
`=1-P(AuuB)`
`=1-0.88`
`=0.12`
(iii) `P(AnnB')=P(A)-P(AnnB)`
`=0.54-0.35=0.19`
(iv) `P(BnnA')=P(B)-P(AnnB)`
`=0.69-0.35=0.34`
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