Let A; B be two events associated to a random experiment. (i)`P(barAnnB)=P(B)-P(AnnB)` (ii) `P(AnnbarB)=P(A)-P(AnnB)` (iii) `P(barAnnB)uuP(AnnbarB)=P(A)+P(B)-2P(AnnB)`

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)

If A,B,C are three events assọciated with a random experiment, prove that P(AuuBuuC) = P(A)+P(B)+P(C)-P(AnnB)-P(AnnC)- P(BnnC)+ P(AnnBnnC)

If A\ a n d\ B are two events associated with a random experiment such that P(A)=0. 3 ,\ P(B)=0. 4\ and \ P(AuuB)=0. ,\ find \ P(AnnB)

If A and B are two events. Then, 1+P(AnnB)-P(B)-P(A) is equal to a) P(barAnnbarB) b) P(AnnbarB) c) P(barAnnB) d) P(AuuB)

If Aa n dB are two events, the probability that exactly one of them occurs is given by P(A)+P(B)-2P(AnnB) P(Ann B )+P( A nnB) P(AuuB)-P(AnnB) P( A )+P( B )-2P( A nn B )

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')

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

Given P(A)=0.54, P(B)=0.69 and P(AnnB)=0.35 (i) P(A' nnB') (ii) P(AnnB')

If A\ a n d\ B are two events associated with a random experiment such that P(A)=0. 5 ,\ \ P(B)=0. 3\ and \ P(AnnB)=0. 2 ,\ find \ P(AuuB)