Depends actually. Operational expenses and things where capital would be spent will of course be divided than to shoulder it alone but same goes with profit and decision making. Figure out what would work best for you if I would be asked. Some people are lone wolves that prefers doing and having things on their own and there's nothing wrong with this as long as the individual could handle all of the factors like finances and over all maanagement of a business or investment. Having a business partner has its ups and downs depending on how you would be taking it. When it comes on profit if you don't want to not earn it fully then compensate it by fulfilling everything alone as well. Sometimes partnerships are due to experties which could be limited on your end and present with your partner. Again, it will depend on your preferred set up but it is not a requirement.
Partnerships are great if you find the right fit for you and for your business. If the person can complement with what you are lacking, and you feel those are important to achieve success in your business, then, you can consider him to be your potential partner.
There are some characteristics of the person that I would want to see before signing them up as partners. And those for me, I believe are non-negotiables. Those are - being a direct/honest person, a good communicator because you will truly understand each other if you know what's in the mind of the other person, being innovative and flexible as you need to survive in this business, among others.