1, I don't know if it can be called "compatible event", but I don't seem to have learned this concept when I was a freshman, but the relationship between these two events is neither mutually exclusive nor antagonistic, but there is an intersection, because at least one white ball includes one white, one red and two white, and at least one red ball includes one white, one red and two red.

2. Opposing events, because at least one white ball includes a white ball, a red ball and two white balls, the union of the two red balls is equal to a complete set, that is, all possible situations of the event "take any two balls with two red balls and two white balls in a pocket", and the two events do not intersect.

3, the same event/the same event, because it is only a white ball, the other ball must be just a red ball.

I don't know if I understand.