You have a 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? Type your answer below using complete sentences.
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If the experimental probability equals the number of your specific events divided by the total events, then all we have to do is work them out.
What is the sum of all the possibilities combined?
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Experimental probability is the ratio of the number of times an event occurs to the total number of trials or times the activity is performed.
So it's asking for you to find the probability that you will get 3 out of the 5 total questions in the test right, where there are 4 different choices for each.
so would you use 20 since each question has 4 choices?
Let's think of it this way. If the probability of getting the question right is 1/4, and the probability of getting it wrong is 3/4, then essentially you will find your final result to be 1/4 * 1/4 * 1/4 *3/4 *3/4