You have 5 question multiple choice test. Each question has four choices. you don’t know any of the answers. What is the experimental probability that you will guess exactly three out of five questions correctly?

To find the probability of multiple events, you must multiply the chance of one happening by the other. Since each question has 4 choices, and only one of them is right, the probability of you answering that question correctly is 1/4 The second question you answer correctly is has 1/4 probability as well. The third question you answer correctly has 1/4 probability. The fourth question (the one you get wrong) has a 3/4 chance of occurring because only 1 of the choices can be right and the other 3 are wrong. The fifth question (also the one you get wrong) has a 3/4 chance of occurring as well. So, now you have to multiple the probabilities of each question in order to find the probability of the quiz. 1/4 x 1/4 x 1/4 x 3/4 x 3/4= 0.008789063. The probability of getting 3 answers correct out of 5 is about 0.088%

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