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# Problem 1: You are taking a 10 question multiple choice test. If each question has...

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Problem 1: You are taking a 10 question multiple choice test. If each question has four choices and you guess on each question

Problem 1: You are taking a 10 question multiple choice test. If each question has four choices and you guess on each question, what is the probability of getting one question correct? [Hint: This is a binomial in the form of 10 choose 1 with p=.25.] Problem 2: What is the probability of getting seven questions correct? [Hint: This is a binomial as Q1 with modified choose value.] Problem 3: What are your chances of answering seven questions correctly if you can reliably eliminate one possible answer from each question? [Hint: This is a binomial as Q2 with a modified p value.] Problem 4: Let’s say, instead, that the test is an adaptive test; you get to answer more questions based on your previous success.

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