Q. 45.0( 1 Vote )

# If A and B are tw

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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