Q. 45.0( 1 Vote )

If A and B are tw

Answer :

Given A and B are two events


And, P(A’) = 0.5 P(A B) = 0.3 P(A B) = 0.8


P(A’) = 1 – P(A) P(A) = 1 – 0.5 = 0.5


We need to find P(B).


By definition of P(A or B) under axiomatic approach(also called addition theorem) we know that:


P(A B) = P(A) + P(B) – P(A B)


P(B) = P(A B) + P(A B) – P(A)


P(B) = 0.8 + 0.3 – 0.5 = 1.1 – 0.5 = 0.6


P(B) = 0.6


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