hi! I need help understanding these two very close questions.

Let A and B be independent events. Show that the "complement of A" and "B" are independent.

The solution here starts by sayng that the intersection between A-complement and B is equal to B minus the intersection between A and B. But I don't see where this comes from...

The other one is: if P(A)=1 or 0, show that A is independent of all events B.

Thanks!