Problems help you to find and follow alternate methods, which may lead you to bigger and better things. If the typewriter ribbon breaks in the middle of a report that's due in 30 minutes, the boss may understand the situation is not your fault and grant you extra time to complete it. This extra time may be what you need to take off the pressure and help you relax to do a better job.
Problems are also the first step in a new invention.
Dr. Scholl's foot medications would not be around if people had not had problems with corns, calluses and other ailments. We wouldn't have automobiles today if people had not had problems getting from place to place quickly. Problems also help you to meet new friends. If you are recently divorced, you may join a group and meet some wonderful friends that will bring you into a better life than the life you were living previously. If you have a problem getting back and forth to work, you may decide to join a carpool and save money while meeting others.