After ruling out some of the answer choices, you randomly guess the answer for each of the story questions. a. How can the probability of getting both answers correct be 25%? Because 25%=14 25 % = 1 4 , you need the probability to be 14 1 4 . By eliminating 1 of the choices in each question, the probability of randomly guessing the correct answer for each question is P=14 P = 1 4 . Because 25%=125 25 % = 1 25 , you need two probabilities whose product is 125 1 25 . Because 5 answer choices exist for each question, the probability of randomly guessing the correct answer to both questions is P=15⋅15=125 P = 1 5 ⋅ 1 5 = 1 25 . Because 25%=14 25 % = 1 4 , you need two probabilities whose product is 14 1 4 . By eliminating all but 2 of the choices in each question, the probability of randomly guessing the correct answer to both questions is P=12⋅12=14 P = 1 2 ⋅ 1 2 = 1 4 . It is not possible for the probability of getting both answers correct to be 25%. Question 2 b. How can the probability of getting both answers correct be 813% 8 1 3 % ?