Question 311668: A short quiz has two true-false questions and one multiple-choice question with four choices. A student guesses at each question. Assuming the choices are all equally likely, what is the probability that the student gets all three correct.
1/32
1/3
1/8
1/16
Please walk me thru this problem I am trying to take this online stats class and am failing miserably.
Thank you,
Kim
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A short quiz has two true-false questions and one multiple-choice question with four choices. A student guesses at each question. Assuming the choices are all equally likely, what is the probability that the student gets all three correct.
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The events are independent, so P(A and B) = P(A)*P(B)
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P(2 correct on true-false) = (1/2)(1/2) = 1/4
P(1 correct mult-choice) = 1/4
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P(this and that) = (1/4)(1/4) = 1/16
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Cheers,
Stan H.
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1/32
1/3
1/8
1/16
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