It depends on the cat. Cats are natural enemies of mice who catch them and feed on them. Yet, house cats usually do not have such habits. If mice realize that there is nothing to be afraid of, they will ignore the cat, which is also scared of them. The mice will still be frightened by the cat’s voice and smell. You can record the cat or play the record from the Internet. It will take some time for mice to realize that there is no danger in the house.