A quiz has 4 multiple-choice questions with 4 possible answer choices each. for each question, there is only 1 correct answer. a student guesses each answer at random. what is the probability of getting exactly 3 questions correct, to the nearest percent? (3 correct and 1 incorrect)

Question

Hugh Thomas

Mathematics

22 June, 19:45

A quiz has 4 multiple-choice questions with 4 possible answer choices each. for each question, there is only 1 correct answer. a student guesses each answer at random. what is the probability of getting exactly 3 questions correct, to the nearest percent? (3 correct and 1 incorrect)

+5

Answers (1)

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French · Answer 1

There are 4C3 ways of getting 3 out of 4 correct. This = 4.

The probability of getting 3 correct and 1 wrong in one of these ways is

1/4 * 1/4 * 1/4 * 3/4 = 3/256

So required probability = 4 * 3/256 = 12/256 = 4.69 %

5% to nearest percent.