It depends on where you live. If you live in a large metro area, a ba in bio or a ba in psych could get work, either (bio) in a lab setting, or (psych) perhaps in social service type work. Obviously either would offer possible work in a university setting if you made friends with your dept. and got work as an assistant after completing your degree, or as a graduate student/teaching assistant. You could tutor or teach with either degree.
I would think either degree could also lend itself to entry level med work, in an office, hospital, or lab, especially if you added in some training programs to help get you in (lab experience, or a course in med terminology, or whatever took you in the direction you wanted to go).
My advisors in UG consistently said that the degree (major) made very little difference. What made the difference was 1) experience related to the job you wanted and 2) you completed the degree, preferably within a reasonable amount of time, and 3) learned how to write something, and 4) could speak coherently about how your degree has prepared you for "the real world". It also helps if you know some professors who will serve as references.
Most of the employers I've either worked for or know otherwise are desperate for employees who TRY to do their job, are personable, and are reliable. What your major is will have little to do with that. Your experiences will. If you're a psych major, you'll still have to take science courses if you're premed. If you're a bio major, your university is still going to make you take social science and humanities type courses.
Oh, and being bilingual can help too.
