Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

A student is taking a multiple-choice test in which each question has five choic

ID: 3335558 • Letter: A

Question

A student is taking a multiple-choice test in which each question has five choices. Assuming that she has no knowledge of the correct answers to any of the questions, she has decided on a strategy in which she will place five balls ( marked A, B, C, D, and E ) into a box. She randomly selects one ball for each question and replaces the ball in the box. The marking on the ball will determine her answer to the question. There are four multiple-choice questions Complete parts a below a below What is the probability that she will get NO QUESTIONS correct?

Explanation / Answer

P(correct answer), p = 1/5 = 0.2

n = 4

P(no questions correct) = (1-0.2)4 = 0.4096