Do terriers have a strong prey drive?

both of my dogs have terriers in them there not the full breed but just wondering. my dog is a chihuhua and yorkshire terrier. my new adopted dogs i had for 5 weeks now is a terrier mix really idk what he is but they have terrier in them they like to chase things that run. like sometimes when i play fetch with my dog my dog chases the ball my new dog chases my dog so i'm just wondering.