SOLUTION: A quiz consists of two multiple-choice questions. The first question has a total of 5 possible answers followed by the second question which has a total of 8 possible answers. If b

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Question 919197: A quiz consists of two multiple-choice questions. The first question has a total of 5 possible answers followed by the second question which has a total of 8 possible answers. If both questions are answered with random guesses
1)Find the probability that the student gets the first question correct but misses the second question
2)Find the probability that the student gets both questions correct:
3)Find the probability that the student answers both questions incorrectly:
4)Find the probability that the student gets at least one question correct:

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A quiz consists of two multiple-choice questions. The first question has a total of 5 possible answers followed by the second question which has a total of 8 possible answers. If both questions are answered with random guesses
1)Find the probability that the student gets the first question correct but misses the second question
Ans: (1/5)(7/8) = 7/40
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2)Find the probability that the student gets both questions correct:
Ans: (1/5)(1/8) = 1/40
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3)Find the probability that the student answers both questions incorrectly:
Ans: (4/5)(7/8) = 7/10
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4)Find the probability that the student gets at least one question correct:
Ans: P(at least one correct) = 1 - P(none correct) = 1-(7/10) = 3/10
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Cheers,
Stan H.
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