A quiz contains three True/False questions. If a student attempts to answer the questions by guessing, what is the probability that the student will answer all three questions correctly ?

Prob = (1/2)(1/2)(1/2) = 1/8

To calculate the probability of the student answering all three questions correctly, we need to determine the probability of getting each question correct and then multiply those probabilities together.

Since each question is a True/False question, the student has a 50% chance of guessing the correct answer for each question.

The probability of guessing the correct answer for one question is 1/2 or 0.5.

To find the probability of the student guessing all three questions correctly, we multiply the probabilities for each question:

P(Answering all three questions correctly) = P(First question correct) * P(Second question correct) * P(Third question correct)

P(Answering all three questions correctly) = 0.5 * 0.5 * 0.5

P(Answering all three questions correctly) = 0.125

Therefore, the probability that the student will answer all three questions correctly by guessing is 0.125 or 12.5%.