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Since there are 4 choices the probability of guessing any given answer correctly is 1/4 or .25; call this a success and denote it by p The chance of guessing wrong is .75; call this a failure and denote it by q. So the chance of 3 out of 5 correct answers is 5C3xp^3q^(5-3)=10p^3q^2 5C3x(.25)^3(.75)^2 5x4x3/3x2(.15625)(.5625) 10(.12625)(.5625)=.0877891

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3y ago

A candidate is taking a multiple-choice exam. For each question on the exam, there are four possible choices (i.e. A, B, C and D). Because the candidate has no knowledge of the subject, he relies on pure guesswork to answer each question independent of how he answers any previous questions. Find the probability that the candidate answers four questions wrong in a row before he finally answers the fifth question correctly

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Q: A test has 5 multiple choice questions each with 4 choices what is the probability of guessing exactly 3 out of 5 right?
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