JEE Advance - Mathematics (1993 - No. 29)
$$E$$ and $$F$$ are two independent events. The probability that both $$E$$ and $$F$$ happen is $$1/12$$ and the probability that neither $$E$$ nor $$F$$ happens is $$1/2.$$ Then,
$$\,P\left( E \right) = 1/3,P\left( F \right) = 1/4$$
$$\,P\left( E \right) = 1/2,P\left( F \right) = 1/6$$
$$\,P\left( E \right) = 1/6,P\left( F \right) = 1/2$$
$$\,P\left( E \right) = 1/4,P\left( F \right) = 1/3$$