for two events, A and B, P(A)=.4, P(B)=.5, and P (AB)=3. Find P(A|B)=, Find P(B|A)= , are A and B independent events?
I don't get this answer
I am going to assume that P(AB)=0.3
P(A|B)=P(A given that B is true) = P(AB given that B is true) = P(AB)/P(B)=0.3/0.5=0.6
P(A l B) = P(A ∩ B) / P(B) = ( .4 * .5) / (.5) = .20 / .5 = .40 = 40%
Except that P(A∩B) is given as 3!!! Perhaps this was meant to be 0.3.
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