SOLUTION: A student is taking a multiple-choice exam in which each question has four choices. Assume that the student has no knowledge of the correct answers to any of the questions. She has

Algebra ->  Probability-and-statistics -> SOLUTION: A student is taking a multiple-choice exam in which each question has four choices. Assume that the student has no knowledge of the correct answers to any of the questions. She has      Log On


   

Question 1167967: A student is taking a multiple-choice exam in which each question has four choices. Assume that the student has no knowledge of the correct answers to any of the questions. She has decided on a strategy in which she will place four balls (marked A, B, C, and D) 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 five multiple-choice questions on the exam.
What is the probability she will get?
a. no questions correct
b. all questions correct
c. less than four correct
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

a.  no highlight%28cross%28question%29%29 answer is correct     P = %283%2F4%29%5E5.



b.  all highlight%28cross%28question%29%29 answers are correct   P = %281%2F4%29%5E5 = 1%2F4%5E5 = 1%2F1024.



c.  less than four highlight%28answers%29 are correct      P = 1 - 1%2F1024.

Solved.