$2\mathrm{.}5$ points

Suppose your commute to work involves encountering $3$ intersections in town and then getting on the Interstate for $10$ miles. Your driving experiences in town and on the Interstate are independent of each other. Suppose your chances of hitting a red light in town are $1$ in $12,$ and your chances of getting tied up in traffic on the Interstate are $3$ in $15.$ What are the chances of having both happen on the same trip to work?

$\frac{3}{225}=\mathrm{.}013or1\mathrm{.}3\%$

$\frac{4}{28}=\mathrm{.}14or14\%$

$\frac{4}{15}=\mathrm{.}27or27\%$

$\frac{3}{180}=\mathrm{.}017or1\mathrm{.}7\%$