JEE Math Practice Question

Let E1 and E2 be two events such that the conditional probabilities $$P({E_1}|{E_2}) = {1 \over 2}$$, $$P({E_2}|{E_1}) = {3 \over 4}$$ and $$P({E_1} \cap {E_2}) = {1 \over 8}$$. Then :

1. A.$$P({E_1} \cap {E_2}) = P({E_1})\,.\,P({E_2})$$
2. B.$$P(E{'_1} \cap E{'_2}) = P(E{'_1})\,.\,P(E{_2})$$
3. C.$$P({E_1} \cap E{'_2}) = P({E_1})\,.\,P({E_2})$$
4. D.$$P(E{'_1} \cap {E_2}) = P({E_1})\,.\,P({E_2})$$