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24 September, 07:01

A quiz consists of 20 multiple-choice questions, each with 5 possible answers. for someone who makes random guesses for all of the answers, find the probability of passing if the minimum passing grade is 60 %.

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  1. 24 September, 07:28
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    N = 20, the number of questions

    p = 1/5 = 0.2, the probability of making a correct guess

    q = 1 - p = 0.8, the probability of making an incorrect guess.

    Expected success = 60% or 6 of 10.

    From the binomial distribution,

    P (6 of 10) = ₁₀C₆ p⁶q⁴

    = 210*0.2⁶*0.8⁴ = 0.0055

    Answer: 0.0055
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