: Assume that there are taking about 10 question multiple choice test. If each q

Question

: Assume that there are taking about 10 question multiple choice test. If each question has four choices and you have to guess on each question, what is the probability of getting exactly 7 questions correct using binomial Probability formula?

Explanation / Answer

p = 0.25 = probability of guess the correct answer on a question q = 0.75 = probability of guess the wrong answer on a question => P(7 Correct guesses out of 10 questions) = 0.0031 approximate value. Therefore if someone guesses 10 answers on a multiple choice test with 4 options, they have about a 5.8% chance of getting 5 and only 5 correct answers. If 5 or more correct answers are needed to pass then probability of passing can be calculated by adding the probability of getting 5 (and only 5) answers correct, 6 (and only 6) answers correct, and so on up to 10 answers correct. Total probability of 5 or more correct answer is approximate percentage is 7.8

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