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For any two events A and B associated to a random experiment, prove that: `P(A)=P(AnnB)+P(AnnbarB)` `P(B)=P(AnnB)+P( barAnnB)` `P(AuuB)=P(AnnB)+P(AnnbarB)+P(barAnnB)`

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Verified by Experts

We know that,
`P(AuuB)=P(A) + P(B) - P(A nnB)`
Putting all the values, we get
`P(AuuB)=P(AnnB)+P(AnnbarB)+ P(AnnB)+P( barAnnB) - P(A nnB)`
`P(AuuB)=P(AnnbarB)+ P(AnnB)+( barAnnB) `
Hence Proved.
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