# SOLUTION: A quiz with 4 multiple choice questions, each with 3 choices, was given. A student needs either 3 or 4 right to pass the quiz, but is totally clueless like myself. What is the pr

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: A quiz with 4 multiple choice questions, each with 3 choices, was given. A student needs either 3 or 4 right to pass the quiz, but is totally clueless like myself. What is the pr      Log On

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 Algebra: Probability and statistics Solvers Lessons Answers archive Quiz In Depth

 Click here to see ALL problems on Probability-and-statistics Question 140366: A quiz with 4 multiple choice questions, each with 3 choices, was given. A student needs either 3 or 4 right to pass the quiz, but is totally clueless like myself. What is the probability of passing by pure guesswork? I wonder if my teacher made this problem up to make fun of me? :(.. thankyou ShellyAnswer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!there is only one way to get 4 right, and the probability is (1/3)^4 there are 4 ways to get 3 right (each of 4 questions being the only one wrong) __ the probability is 4[((1/3)^3)(2/3)] (1/3)^4+4[((1/3)^3)(2/3)]=1/81+4(2/81)=1/81+8/81=9/81=1/9 one chance in nine of guessing your way through the test