[pairing]

Apply! Show off projects on your resume (even if you don't think they are impressive), link to your github on your resume. Explain your passion for programming in a cover letter.

You would be surprised how many fresh CS majors have nothing to show other than the title. With the same intangibles, I'd hire a new college graduate with personal projects/open source code and no CS degree over a fresh college graduate with a CS degree and nothing to show for it.