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?
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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
