If you eat a low calorie diet but majority consists of carbohydrates, would you still lose weight?

Yes, if low enough: Helpful weight loss foods are natural foods that take time to chew but contain few calories. Examples include carrots, celery, and iceberg lettuce (without salad dressing). When shopping for fruits, buy small ones no bigger than a tennis ball, because fruits contain natural sugar. Drinks without calories include water and green tea. A calorie is a calorie, regardless of where it comes from.

Probably: It all depends on the amount of calorie that you're eating and the type of carbohydrates. However on a low calorie high carbohydrate diet you run the risk of losing a lot of muscle mass and gaining fat which increases your risk of heart disease diabetes and other issues that people with high body fat and obese are at risk of. Therefore i'm not an advocate of low-calorie high carbohydrate diet unless there is a medical indication for i.