I don't mind being a part of a team or working independently. I think I am confident and believe in myself, whatever situation.
If the team components are supportable then I will prefer to work in the team otherwise it is better to complete the the job by myself, because if time is wasted in achieving a particular job the team is meaningless.
Independent work sometimes seems desirable because you can manage your own time and also you have a chance to show all your talents and skills. Team work is different because you can learn from other people and learn some values and skills so you gain experience as well as learning to try to accept others' opinions.
I love to work in team because I learn lot from others, but if I have to work alone, then I am also fine. I enjoy working in both conditions -- I have no problems with either.