Q35 of 249 Page 31

Mark the correct alternative in each of the following:

If and then


→ (Given)



= 1 – P(A⋃B) → (1)



= 1 – [P(A) – P (A⋂B)] → (2)


Now,




P(A⋂B) = P(B) 1/2


P(A⋂B)


→ (3)


According to the addition theorem of probability,


P(A⋃B) = P(A) + P(B) – P(A⋂B)


→ From (3) and (Given)




→ (4)


Now using Equation (1) and (2)


P (A⋃B) + P() = 1 – P(A⋃B) + 1 – [P(A) – P (A⋂B)]






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