Something making something happen is easier to belive than something happening randomly.
You said more believable, not easier to believe.
We have evidence in the fossil record, and the fact that our skeletons are similer to other animals which indicates a common ancestor. There is also variation in bacteria which can survive certain antibiotics and will repopulate to create a population of antibiotic-resistant organisms, this is why why constantly have to develop new vaccines and antibiotics as organisms are simly evolving to survive them.
It is more believable. There is so much evidence that you have to put your head in the sand to reject evolution.