Answer :

Given : P() = 0.4, P(A or B) = 0.7 and P(A and B) = 0.3


To find : P(B)


Formula used : P(A) = 1 – P()


P(A or B) = P(A) + P(B) - P(A and B)


We have P() = 0.4


P(A) = 1 – 0.4 = 0.6


We get P(A) = 0.6


Substituting in the above formula we get,


0.7 = 0.6 + P(B) – 0.3


0.7 = 0.3 + P(B)


0.7 – 0.3 = P(B)


0.4 = P(B)


P(B) = 0.4


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