Question

A section of an exam contains six true-false questions, each with two answer choices (listed "T" for true and "F" for false). Assume the outcomes are equally likely.

What is the probability that all six answers are "F"?

What is the probability that at least one answer is "T"?

Answer 1

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: