What is the probabilty of getting a perfect score you were forced to guess at each question?

Well by guessing 50% of the time you would be right, 50% of the time you would be wrong. Assuming true false type questions, not multiple choice. On a test with one question, you would have a 50% chance of a perfect score. On a test with two questions you would have a 25% chance. It goes down rapidly the more questions you are asked.