Answer: a) The probability of answering "F" to a single true-false question is 1/2. Therefore, the probability of answering "F" to all six questions is (1/2)^6 = 1/64.
b) To find the probability that at least one answer is "T", we can use the complement rule and find the probability that all six answers are "F". The complement rule states that the probability of an event happening is equal to 1 minus the probability of it not happening.
So, the probability that at least one answer is "T" is 1 - (1/64) = 63/64.
Explanation: