I am probably misusing Bayes' theorem, but I can't figure out how.
$$P(B|A) = 0.4$$
$$P(B) = 0.1$$
$$P(A) = 0.3$$
$$P(A|B) = \dfrac{0.4 \cdot 0.3}{0.1} = 1.2$$
Since the probability of anything can't be > $1$, I must be wrong somewhere. Please help.