4. A multiple choice exam has 3 choices for each question. A student has studied enough so that the probability they will know the answer to a question is 0.5, the probability that they will be able to eliminate one wrong choice is 0.25, otherwise all 3 choices seem equally plausible. If they know the answer, they will get the question right. If not, they must guess from the 2 or 3 choices. What is the probability that the student gets the correct answer?

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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4. A multiple choice exam has 3
choices for each question. A
student has studied enough so
that the probability they will know
the answer to a question is 0.5,
the probability that they will be
able to eliminate one wrong
choice is 0.25, otherwise all 3
choices seem equally plausible.
If they know the answer, they will
get the question right. If not, they
must guess from the 2 or 3
choices. What is the probability
that the student gets the correct
answer?
Transcribed Image Text:4. A multiple choice exam has 3 choices for each question. A student has studied enough so that the probability they will know the answer to a question is 0.5, the probability that they will be able to eliminate one wrong choice is 0.25, otherwise all 3 choices seem equally plausible. If they know the answer, they will get the question right. If not, they must guess from the 2 or 3 choices. What is the probability that the student gets the correct answer?
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