JEE Advance - Mathematics (1998 - No. 11)
If $$E$$ and $$F$$ are events with $$P\left( E \right) \le P\left( F \right)$$ and $$P\left( {E \cap F} \right) > 0,$$ then
occurrence of $$E$$ $$ \Rightarrow $$ occurrence of $$F$$
occurrence of $$F$$ $$ \Rightarrow $$ occurrence of $$E$$
non-occurrence of $$E$$ $$ \Rightarrow $$ non-occurrence of $$F$$
none of the above implications holds