Let E and F be two independent events. The probability that both E and F happen is \(\displaystyle\frac{1}{12}\) and the probability that neither E nor F happens is \(\displaystyle\frac{1}{2}\), then a value of \(\displaystyle\frac{P(E)}{P(F)}\) is.
1
\(\displaystyle\frac{5}{12}\)
2
\(\displaystyle\frac{1}{3}\)
3
\(\displaystyle\frac{3}{2}\)
4
\(\displaystyle\frac{4}{3}\)