Answer :

P(B) = , P = , P(AB) = (Given)


Now as we know,




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


P(AB)


(1)


Now, according to the addition theorem of probability,


P(AB) = P(A) + P(B) – P(AB)





(2)


Now according to the image:


untitled.png


P = P(B) – P(AB)



(3)


Also, P( = 1 – P(A)



(4)


Now,





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