Will microsoft replace my halo 3?

Well i recently bought Halo 3, played it a couple of times and enjoyed it. Now my dilemma is that my collectors edition case kinda broke my disc. Lol what i meant to say was that my disc cracked from the middle. Its a very slight crack but this slight crack was all it took for my disc to be unplayable. Now I'm wondering if microsoft is willing to replace my disc. Even if i have to pay some money.

Thanks in adavance.