Question

Multiple-choice questions have a special grading rule determined by your instructor. Assume that your instructor has decided to grade these questions in the following way: If you submit an incorrect answer to a multiple-choice question with n options, you will lose 1/(n−1) of the credit for that question. Just like the similar multiple-choice penalty on most standardized tests, this rule is necessary to prevent random guessing.If a multiple-choice question has five answer choices and you submit one wrong answer before getting the question correct, how much credit will you lose for that part of the question?

Answer 1

The credit will you lose for the part of question is 1/4 or 25%.

Explanation:

Consider the provided information.

It is given that, if you submit an incorrect answer to a multiple-choice question with n options, you will lose 1/(n−1) of the credit for that question.

Suppose the given multiple choice question has 5 answer. So for one wrong answer the loss will be:

Substitute the value of n=5 in above formula.

`(1)/(n-1) \\(1)/(5-1) \\(1)/(4)=0.25`

That means you will lose 1/4 or 0.25credit.

Now convert it into %.

`(1)/(4)* 100=25\%`

Hence, the credit will you lose for the part of question is 1/4 or 25%.

Answer 2

1/4 of the credit

Explanation:

The problem statement tells you n=5. Putting that into the expression for lost credit, you get ...

1/(5-1) = 1/4

of the credit is lost for a question with 1 wrong answer.

You will lose 1/4 of the credit.