To determine whether they are dependent or independent events:
1. According to the problem, Event 1 is a selection of a tile J out of 26 and the Event 2 is a selection of v in the remaining 25 tiles.
Event 1 affects event 2.
So, these are dependent events.
2. Similar to the first question, event 1 affects event 2. Because event 2 is depending on the first event.
So, these are dependent events.
3. According to the problem, event 1 does not affect event 2.
So, these are independent events.
4. According to the problem, she selects one trading card and then she returns the card back. After this, she selects the other card. So, event 1 does not affect event 2.
So, these are independent events.
5. Similarly to the fourth question, event 1 does not affect event 2 because of the dropped back of balls.
So, these are independent events.