Originally Posted by

**jbwtucker** A student is presented with a test consisting of standard multiple choice problems: each problem has four options, and they may select only one.

**For each question, the student is able to eliminate two of the options, both of which he knows to be incorrect.**

Once the student has eliminated the answers he knows to be incorrect, he guesses randomly between the remaining options.

What is the probability that the student will get **at least** a passing score of 70% on the test?