Look at everything on the label. The carrot juice on nutrientfacts.com is loaded with carbohydrates. 20g per serving. The protein on the second one is also significantly higher. Whatever else they're putting in the nutrientfacts carrot juice is responsible for the difference in vitamin percentages you see.

I'd go with the second if I were you. The first is comparable to water. There isn't much in it at all and the numbers on the second all around aren't bad in any category. Its a little carb laden but thats pretty normal for juices.