A five question quiz Is taken in which the first and second questions have four answered choices the third and fourth questions have three answered choices, and the last question has five answer choices if a student randomly marks an answer for each question what is the expected number of questions he will answer correctly

Answer 1

For a multiple choice question with 4 choices, the probability of answering correctly is 1/4. Similarly, for a multiple choice question with 3 choices, the probability of answering correctly is 1/3, and for a question with 5 choices, the probability is 1/5.

Therefore, the expected number of questions answered correctly for each question type is:

1st and 2nd questions: (1/4) * 2 = 1/2
3rd and 4th questions: (1/3) * 2 = 2/3
5th question: 1/5

Adding these up gives us the total expected number of questions answered correctly:

1/2 + 2/3 + 1/5 = 15/30 + 20/30 + 6/30 = 41/30

Therefore, the student is expected to answer approximately 1.37 questions correctly.