What kind of games will a Lenovo T440 be able to play?

I'm getting ready to go to college and I'm looking for a nice and sturdy laptop that will last me long, and still enable me to play games with my brothers whenever I'm not home, like Minecraft and Arma 2. The FPS I'm hoping for is around 50. I have had bad experiences with HP Pavilions, with their plastic casing, and weak hardware that is no where built for gaming and multitasking. Hopefully, a Lenovo T440 would be able to last me through college and still keep me entertained whenever I want. I plan on getting one at Best Buy for $900 that comes with an i5 Intel processor with 500 gb hard drive and 4gb memory. Can you please give me some game examples with some FPS estimates?