Some cat breeds (like the Maine Coon) are more popular than other breeds with the judges at cat shows. It turns out that 70% of the Maine Coons entered in recent cat shows won a prize. By contrast, only 20% of cats from all other breeds won a prize. Further only 10% of the cats entered were Maine Coons! Your friend walks up and proudly says their cat just won a prize. What is the probability that your friend owns a Maine Coon