A test has four questions: The first question is a true/false question, and it is followed by three multiple choice questions (answers a, b, c, d).

b. If a person guesses an answer for each question, what is the probability that he answers each question correctly?

1 answer

For the true/false question, there is a 50% chance of guessing correctly.
For each of the multiple choice questions, there is a 25% chance of guessing correctly.
Therefore, the probability of guessing all four questions correctly is 0.5 x 0.25 x 0.25 x 0.25 = 0.0078125, or approximately 0.78%.