If A and B are two events such that P ( A ∩ B )=0.1, and P ( A ∣ B ) and P ( B ∣ A ) are the roots of the equation 12 x^2-7 x+1=0, then the value of…

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