SOLUTION: A multiple-choice quiz has 15 questions, each with 4 possible answers of which only one is correct. What is the probability that a student gets at least 1 correct answer?

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Question 1152862: A multiple-choice quiz has 15 questions, each with 4 possible answers of which only one is correct. What is the probability that a student gets at least 1 correct answer?
Answer by ikleyn(52812) About Me  (Show Source):
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For each of 15 questions, the probability to guess randomly the correct answer is 1%2F4.


The probability to answer incorrectly all 15 questions is  %283%2F4%29%5E15 = 0.013363


The probability to get at least 1 correct answer is the COMPLEMENT


    P = 1 - %283%2F4%29%5E15 = 1 - 0.013363 = 0.986637.    ANSWER