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.

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.

What is the probability that the student gets exactly five questions correct?

Round your answer to three decimal places.