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2 September, 07:47

On a multiple-choice exam with three possible answers for each of the five questions, what is the probability that a student would get fouror more correct answers just by guessing?

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  1. 2 September, 09:07
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    Answer: 11/243

    Step-by-step explanation:

    Each question has 3 options: 2 incorrect and 1 correct

    Probability P (correct guessing) = 1/3

    P (wrong guessing) = 2/3

    Probability P (4 answers correct) = 5C4 * (1/3) ^4 * (2/3) ^1

    Probability P (5 answers guessed correctly) = 5C5 * (1/3) 5

    Therefore Probability P (4 or more answers correct) = P (4) + P (5) = (10/3^5) + (1/3^5)

    P (4 or more correct answers) = 11/243
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