$(15$ points$)$ Consider A as the event of constructing a bridge and B as the event of obtaining the necessary environmental permits for the construction. Probability of successfully completing the bridge construction is $0\mathrm{.}5$probability of either successfully completing the bridge construction or obtaining the environmental permits is $0\mathrm{.}75,$ and the the probability of not obtaining the environmental permits is $5/8$ Compute the following athe probability of both successfully completing the bridge construction and obtaining the environmental permits