SOLUTION: A student is taking a multiple choice test with 3 questions, each of which has five possible answers. If the student guesses at random on all three questions, what is the probabili

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Question 1207293: A student is taking a multiple choice test with 3 questions, each of which has five possible answers. If the student guesses at random on all three questions, what is the probability that they answer all three questions correctly?

Answer by ikleyn(53937) (Show Source):
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A student is taking a multiple choice test with 3 questions, each of which has five possible answers.
If the student guesses at random on all three questions, what is the probability that they answer
all three questions correctly?
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The probability to answer first multiple choice question correctly (guessing randomly) is {{1/5}}} = 0.2. The probability to answer second multiple choice question correctly (guessing randomly) is {{1/5}}} = 0.2. The probability to answer third multiple choice question correctly (guessing randomly) is {{1/5}}} = 0.2. Thus, the probability to answer each multiple choice question correctly (guessing randomly) is {{1/5}}} = 0.2. Hence, the probability to answer all three multiple choice problems correctly (guessing randomly) is = 0.008, which is the same as = . ANSWER

Solved.