 In this video, we provide the solution to question number nine for practice exam number four for math 1030 for which we have the following situation your math professor Maybe that's me gives a three question multiple choice quiz in his class. Unfortunately, you spent the whole weekend skiing shame on you So you have to randomly guess each of the answers to the questions if you if each question has four choices Which as you can see I probably will do more than four choices But for the sake of this example of each option of each question has four question four options and there's three questions Then what is the probability that you will answer all of the questions correctly? So the probability of getting the first question right is going to be one fourth Okay, because you have four options if they're all equally likely you're going to get one out of four you can guess it right there But then for the second question also has four options you're going to get one fourth for the third option you also get one fourth there as well That's the probability of guessing it right so the answer is going to be one fourth to the third power that is one over four cubed four cubed is 64 So you get one over 64 that is the chance of getting a 100% on this quiz just from random guessing and so we see the answer is a