A computer specialty manufacturer has a two-person technical support staff who work independently of each other ...

A computer specialty manufacturer has a two-person technical support staff who work independently of each  other. In the past, Tom has been able to solve 75% of the problems he has handled, and Adam has been able to solve  95% of the problems he has handled. Incoming problems are randomly assigned to either Tom or Adam. If a technical  problem has just been assigned to the support department, what is the probability that it will be handled by  Adam? If it turns out that the problem was solved, what is the probability that it was handled by Adam?