True-false exam: A section of an exam contalns four true-false questions. A completed exam paper is selected at random, and the four answers are recorded. Round your answers to four decimal places if necessary. Part: \( 0 / 3 \) Part 1 of 3 Assuming the outcomes to be equally likely, find the probability that all the answers are "False." The probability that all the answers are "False" is

To find the probability that all four answers are "False," we need to consider that each question has two possible outcomes: True (T) or False (F). Since there are four questions, the total number of possible answer combinations is \(2^4 = 16\). The outcome where all answers are "False" is just one specific combination (FFFF). Therefore, the probability \(P\) of all answers being "False" is: \[ P(\text{All False}) = \frac{1 \text{ (FFFF)}}{16 \text{ (total combinations)}} = \frac{1}{16} = 0.0625 \] So, the probability that all the answers are "False" is \(0.0625\).