I have a problem that asks a few questions on the probability of two events where P(A) = 0.6, P(B) = 0.7, and $P(A \cap B)$ = 0.4
i.) The first question asks to calculate the probability of P(A'|B).
Since $$P(A | B) = \frac{P(A \cap B)}{P(B)}$$
My solution was to do $$P(A' | B) = \frac{P(A' \cap B)}{P(B)} = \frac{(0.4) (0.7)}{0.7} = 0.4$$
However, the answer appeared to be: $$P(A' | B) = \frac{0.4}{0.7} = 0.5714$$
ii.) The second asks to calculate the probability of P(A'|B').
My solution was to do $$P(A'| B') = \frac{P(A' \cap B')}{P(B')} = \frac{(0.4) (0.3)}{0.3} = 0.4$$
However, the answer appeared to be: $$P(A'| B') = \frac{0.1}{0.3} = 0.3333$$
I was wondering if anyone can help me see where I went wrong here with both of these questions, or if I'm misunderstanding the actual formulas and how to use them.