7. 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?

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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7. 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:7. 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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