Chances for LSE Masters?

I recently graduated from Virginia Tech and am interested in pursuing a masters degree in politics at LSE. I have always wanted to live abroad for a few years so this seems like the perfect opportunity to do so. Listed below are my stats. In addition to my stats listed below I expect to have strong letters of recommendation. Although my letters of recommendation will be from sociology professors and not political science professors. If this really hurts my chance, I could ask a political science professor, but I am closest to my sociology professors.

Majors: Political Science and Sociology
GPA: 3.81 (Overall) 3.82 (Political Science) 3.96 (Sociology)
Experience: worked as a fellow for a small environment organization, worked as a peer tutor, and currently volunteering as a researcher/docent for a museum

What do y’all think of my chances?