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Tyro
Asked: 2021-04-17T08:38:25+00:00 In: ,

Probabilty of multiple choices

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The probability of getting a multiple choice wrong is 0.8. A weekly quiz has 10 multiple choice questions. Assume independence between the question.

What is the probability of getting 5 questions correct?

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  2. acedstud

    Since the probability of getting a question wrong is 0.8, then the probability of getting a question right is 1 – 0.8 = 0.2

    Then using the binomial probability distribution where number of trials, n=10, probability of success, p=0.2, then P(X=x)=^nC_xp^x(1-p)^{n-x}.

    Thus, P(X=5)=^{10}C_5(0.2)^5(0.8)^{10-5}=252\times0.00032\times0.32768=0.0264.

    Therefore, the probability of getting 5 questions correct is 0.0264.

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