If I take a 7 question multiple choice test, with 4 choices per question, what is the probability that I get 1 wrong

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If I take a 7 question multiple choice test, with 4 choices per question, what is the probability that I get 1 wrong

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Xavia 4 years 2021-07-20T13:21:20+00:00 1 Answers 7 views 0

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  1. Orla
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    2021-07-20T13:22:38+00:00
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    Answer:

    The probability is \frac{3}{4^7}.

    Step-by-step explanation:

    Total questions = 7

    Number of choices of each question = 4

    Probability to give the correct answer = 1/4

    Probability to give the wrong answer = 3/4

    Probability to give 1 answer wrong

    \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{3}{4}\\\\= \frac{3}{4^7}

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