Personality traits like extroversion and introversion do not determine a person's intelligence. Intelligence is a complex trait that is influenced by a wide range of factors, including genetics, environment, upbringing, education, and personal experiences.
Both extroverts and introverts have their unique strengths. Introverts might be more contemplative and have a greater ability for deep focus, which can contribute to success in intellectual pursuits. On the other hand, extroverts might have more social intelligence and be more adept at networking and building relationships, which can contribute to success in collaborative endeavors.
Also, intelligence is multifaceted and isn't limited to just cognitive abilities. For instance, there's emotional intelligence (understanding and managing emotions), social intelligence (understanding and interacting effectively with others), creative intelligence (ability to solve problems creatively), and practical intelligence (ability to handle everyday tasks), among others.
Remember, extroversion or introversion is just one aspect of personality, and it's the combination of all aspects of a person – their skills, abilities, attitudes, experiences, and knowledge – that contributes to their intelligence and success in life.