CMIMC 2020 Combinatorics and Computer Science Problem 2

David is taking a true/false exam with 9 questions. Unfortunately, he doesn’t know the answer to any of the questions, but he does know that exactly 5 of the answers are True. In accordance with this, David guesses the answers to all 9 questions, making sure that exactly 5 of his answers are True. What is the probability he answers at least 5 questions correctly?