Mr. Patrick is preparing a five-question true-false quiz for his class. He flips a coin before writing the first question. If it is heads, he writes a true statement and if it is tails, he writes a false statement. He continues this until all five statements are written. What is the probability that the correct sequence of answers is TFTFT ? Express your answer as a common fraction.
(A)\frac{1}{6} (B)\frac{1}{64} (C)\frac{1}{32} (D)\frac{1}{2}
C