Suppose that A & B are events in a sample space and that P(A) > (1/2) and P(B) > (1/2).
Prove that P(A "intersection" B) does not equal 0.
limit as n approaches zero, we know that P( A intersection B) must be greater than zero, though it may be close ( as the aforementioned limit). And thus, we see that it also cannot equal zero!
I think I may have been a bit vague, but let me know if that sounds right.
I think I have the right approach now.