Here's how you can do the experiment (simulation). Since each question has four choices, numbered 1,2,3,4. Then take a coin and throw it twice to represent your answer guess, with HH=0 HT=1 TH=2 TT=3
Assume the correct answer is {1,1,1,1}, or any other set you decide to have. Repeat this 5 times to get the 5 answers, and record the "correct" answers.
This constitutes ONE trial. You can repeat the number of trials as you are required to do. If the number of trials is a large number, you are better off writing a computer program, using Java, Excel, Perl, C, Basic, or any other language of your choice.