A and B are two events such that `P(A)=0.54`, `P(B)=0.69` and `P(A nn B)=0.35` Find (i) `P(A uu B)`. (ii) `P(A^(prime) nn B^(prime))` (iii) `P(A nn B^(prime))` (iv) `P(B nn A^(prime))`

Explanation

i) .P(A uu B)=P(A)+P(B)-P(A nn B)=0.54+0.69-0.35=0.88.
ii) .P(A^(prime) nn B^(prime))=P(A uu B)^(prime)=1-P(A uu B)=1-0.88=0: 12.
iii) .P(A nn B^(prime))=P(A)-P(A nn B)=0.54-0.35=0.19.
iv) .cdot P(B dotnn A^(prime))=P(B)-P(A nn B)=0.69-0.35=0.34=1/i.