I actually disagree.

“In logic, two mutually exclusive (or “mutual exclusive” according to some sources) propositions are propositions that logically cannot both be true.” (wikipidia)

In this case either can be true without them both being true but in some cases, they can both be true.

To me, they are both true. I believe that with access to enough accurate data it would be proven that Christ is risen. I also believe that because I believe Christ is Risen, my daily life is dramatically different than if I didn’t believe it.