A math test consists of 17 multiple choice questions each wi

A math test consists of 17 multiple choice questions,

each with five possible answers (a, b, c, d, e), only one of which is correct.

Assume that a student takes the test and randomly answers the questions.

Would it be unusual for the student to get no questions correct? Explain.

Solution

Yes, the probability of it happening is: 1/5^17 which is near 0.