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Guessing answers in a multiple-choice test: binomial probability of a score

This type of question, asked 3 times: 4 May 2023 S1, 15 May 2023 S1, 13 Apr 2026 S2. All 3 questions below, oldest first.

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  1. Question 1

    4 May 2023 S1

    145
    A multiple-choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing, is

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  2. Question 2

    15 May 2023 S1

    129
    A multiple-choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is

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  3. Question 3

    13 Apr 2026 S2

    98
    In a multiple-choice examination, there are 1010 questions with one correct option out of 44 options for each question. A student gets 44 marks for each correct answer and 11 mark is deducted for each incorrect answer. The probability that a student, guessing randomly on every question, scores 3030 marks in this exam is...

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