A pop quiz consists of three true–false questions and one multiple choice questions. Each multiple choice question has seven possible answers. If a student blindly guesses the answer to every question, what is the probability that the student will correctly answer all four questions? (Round your answer to 3 decimal places.)
PROBABILITY: ?
The probability of getting the first true-false question correct is 1/2 since there are two options (true and false) and only one of them is correct. similary the probability of getting 2nd and 3rd true -false question correct is 1/2 and 1/2 respectively.
The probability of getting the multiple choice question correct is 1/7, since there are seven choices and only one correct.
The probability of getting all 4 questions correct is,
(1/2) * (1/2) * (1/2) * (1/7) = 1/56 = 0.018
Therefore, required probability = 0.018
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