SOLUTION: a very short quiz has one multiple choice question with five possible choices a b c d e and one true false question what is the probability that only one of the two answers is c

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Question 269777: a very short quiz has one multiple choice question with five possible choices a b c d e and one true false question
what is the probability that only one of the two answers is correct?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a very short quiz has one multiple choice question with five possible choices a b c d e and one true false question
what is the probability that only one of the two answers is correct?
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P(get multiple question right) = 1/5
--------
P(true/false right) = 1/2
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P(both right) = 1/2*1/5 = 1/10
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P(both wrong) = (1/2)(4/5) = 4/10
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P(one of two correct = 1 - [both wrong or both right]
= 1 - [4/10+1/10]
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= 1/2
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Cheers,
Stan H.