Answer:
To find the probability that all four answers will be incorrect, we need to calculate the probability of getting an incorrect answer for each problem and then multiply them together.
For each problem, there is a 5/6 chance of selecting an incorrect answer since there is only one correct answer out of 6 choices.
So, the probability of getting all four answers incorrect is:
(5/6) * (5/6) * (5/6) * (5/6) = (5/6)^4 ≈ 0.4823
So, the probability that all four answers will be incorrect is approximately 0.4823, or about 48.23%.