It depends on whether your statement above means. If we pull a NEW set of marbles for each event, or we just pull 1 set of marbles and find the probabilities of each. If we pull just one set of 4 marbles then each event, and of course any number of events, are independent of each other.
If we pull 4 marbles and check Event A. Then we pull 4 marbles without replacement and check Event B, they are definitely not independent. The marbles we pulled out during Event A will affect the probabilities we calculate for Event B.