Answer :

(Given)



= 1 – P(AB) (1)



= 1 – [P(A) – P (AB)] (2)


Now,




P(AB) = P(B) 1/2


P(AB)


(3)


According to the addition theorem of probability,


P(AB) = P(A) + P(B) – P(AB)


From (3) and (Given)




(4)


Now using Equation (1) and (2)


P (AB) + P() = 1 – P(AB) + 1 – [P(A) – P (AB)]






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