She is lucky, she has very ... problems.

The correct answer is **many**. Explanation: The sentence implies a contrast between being lucky and having problems. The word that best fits the blank should indicate a significant number of problems to create this contrast. * "much" is used with uncountable nouns. * "few" implies a small number, which doesn't create a strong contrast with being lucky. * "many" is used with countable nouns and indicates a large quantity, creating a contrast. * "little" is used with uncountable nouns and also implies a small amount. Therefore, "many" is the most appropriate word to complete the sentence, as it suggests a large number of problems, creating the desired contrast with being lucky. The complete sentence is: "She is lucky, she has very many problems."