Explain the property ` P((AuuB)/F) = P(A/F) + P(B/F) - P((AnnB)/F)`

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)+(AnnbarB)+P(barAnnB)

E and F are events such that P(E) =(1)/(3) P(F)= (1)/(4) , P(EnnF) = (1)/(5) . Find i. P(E|F) ii. P(F|E) iii. P(E uuF)

A and B are mutually exclusive events. P(A)=0.28, P(B)=0.38, then find (i) P(AuuB) , (ii) P(AnnB), (iii) P(AnnB') , (iv) P(A'nnB')

A and B are two events such that P(A)=0.54, P(B)=0.69 and P(AnnB)=0.36, then evaluate: (i) P(AuuB) (ii) P(A'nnB') (iii) (AnnB') (iv) P(BnnA')

If P(A)=6/(11),P(B)=5/(11) and P(AuuB)=7/(11), find P(AnnB) , P(A/B) , P(B/A)

If E and F are any two events such that P(E) + P(F) - P(E and F) = P(E) Then (A) P(F/E) = 1 , (B) P(E/F) = 1 , (C) P(F/E) = 0 , (D) P(E/F) = 0.

A and B are two events such that P(A)=0.54, P(B)=0.69 and P(AnnB)=0.535 . (i) P(AuuB) (ii) P(A'nnB') (iii) P(AnnB') (iv) P(BnnA')

A and B are two events such that P(A)=0.54, P(B)=0.69 and P(AnnB)=0.35 . (i) P(AuuB) (ii) P(A'nnB') (iii) P(AnnB') (iv) P(BnnA')

If E and F are independent events, P(E)=(1)/(2) and P(F)=(1)/(3) , then P(E nn F) is :

If A and B are two events such that P(A)=0.25 , P(B)=0.05 and P(AnnB)=0.14 , then P(AuuB)= ............