Can we identify if 2 events $A$ and $B$ are independent (or dependent) without knowing $P(A \cap B)$?

Question

The above diagram certainly tells us that that the 2 events $A$ and $B$ are not mutually exclusive. But what do we know for sure about their independence. Can we tell anything about their independence without knowing the values for $P(A \cap B)$ .

Let $P(A) = 0.4$ and $P(B) = 0.8$