SOLUTION: A teacher has prepared a 6-item test with the first three items being true or false and the last three items being multiple-choice with four choices each. What is the probability t

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Question 327193: A teacher has prepared a 6-item test with the first three items being true or false and the last three items being multiple-choice with four choices each. What is the probability that a student will score100% if every answer is chosen at random?
Answer by stanbon(75887) About Me  (Show Source):
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A teacher has prepared a 6-item test with the first three items being true or false and the last three items being multiple-choice with four choices each. What is the probability that a student will score 100% if every answer is chosen at random?
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P(1st three are correct) = (1/2)^3 = 1/8
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P(last 3 are correct) = (1/4)^3 = 1/64
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P(6 correct)= (1/8)(1/64) = 1/512
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Cheers,
Stan H.
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