If a student takes a multiple choice test of five questions with four answers each (with one correct answer), what is the probability of guessing all five questions correctly?

1 Answer

#1/1024~=0.1%#

Explanation:

For each question, there is a probability of #1/4# of guessing the right answer (we're assuming that we're guessing on each question. If you as the student can eliminate choices on each question, the probability will change).

There are 5 questions and getting each question correct has a probability of #1/4#. And so we end up with:

#1/4xx1/4xx1/4xx1/4xx1/4=(1/4)^5=1/1024~=0.1%#