Which events are independent?

You choose 2 different ice cream flavors.
You study English 20 min nightly, then you get an A on the next test.
You draw a card from a deck, replace it and draw a second.
You draw a card and don't replace it. Then you draw another.

3 answers

Choosing 2 different ice cream flavors and drawing a card from a deck, replacing it and drawing a second card are independent events. Studying English 20 min nightly and getting an A on the next test, and drawing a card and not replacing it before drawing another are not independent events.
You choose 2 different ice cream flavors.
This is an independent event. The choice of one ice cream flavor does not affect or influence the choice of the second ice cream flavor. The two events occur separately and have no effect on each other.