Question 328099: Guessing A multiple choice quiz has three questions, each with five answer choices. Only one of the choices is correct. You have no idea what the answer is to any question, and have to guess each answer.
d. Find the probability of answering the first question correctly.
e. Find the probability of answer the first two questions correctly.
f. Find the probability of answering all three questions correctly.
g. Find the probability of answering none of the questions correctly.
h. Find the probability if answering at least one of the questions correctly.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Guessing A multiple choice quiz has three questions, each with five answer choices. Only one of the choices is correct. You have no idea what the answer is to any question, and have to guess each answer.
Binomial Problem with n = 3 and p = 1/5
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d. Find the probability of answering the first question correctly.
1/5
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e. Find the probability of answer the first two questions correctly.
1/5*1/5 = 1/25
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f. Find the probability of answering all three questions correctly.
(1/5)3 = 1/125
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g. Find the probability of answering none of the questions correctly.
(4/5)^3 = 0.512
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h. Find the probability if answering at least one of the questions correctly.
1 - 0.512 = 0.488
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Cheers,
Stan H.
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