The correct option is C None of these
Consider the following events in single throw of a die.
E= getting a multiple of 3;
F= getting an even number.
We have, P(E)=13 and P(F)=12.
Clearly, P(E)≤P(F) and P(E∩F)=16>0.
But none of the option (A),(B) and (C) is true.
Thus, the statement is alternatives (A), (B) and (C) do not necessarily hold good.