Question

a quick quiz consists of true/false questions followed by a multiple choice question with four possible answers (a,b,c,d). If both questions are answered with random guesses:

a.)are these two types of questions independent? yes or no

b.) find the probability that both responses are correct

Answer 1

a) Yes, these two types of questions are independent. Because guessing on second question is not dependent on guessing of first question.

b) P(both responses are correct) = P(first question is correct) * P(second question is correct)

                                                     = (1/2) * (1/4)

                                                     = 1/8 or 0.125