If \( A \) and \( B \) are two events such that \( P(A \cap B)=0.1 \), and \( P(A|B) \) and \( P(B|A) \) are the roots of the equation \( 12x^{2}-7x+1=0 \), then the value of \(\displaystyle \frac{P(\bar{A}\cup \bar{B})}{P(\bar{A}\cap \bar{B})} \) is:
