In one of the meeting in Statistics class, the professor decided to give a surprise quiz to check if the students understand what was discussed during the previous meeting and to check if they are studying their lessons at home. Johnny, who is not very serious in his studies, is not performing well in the course because he is absent most of the time. He is not reading the textbook and not doing the assignments most of the time. Since he is not ready for the quiz, he intends to rely on luck to pass the quiz. The quiz consists of 5 multiple-choice questions. Each question has four options and only one of which is correct. If Johnny plans to guess the answer to each question:

1. What is the probability that Johnny will get zero in the quiz?

Answer:

2. What is the probability that Johnny might got the perfect score?

Answer:

3. What is the probability that Johnny will get three correct answers? Answer: