Sam is taking a multiple choice test.  Each question has 5 possible answers of which only one is correct.  Sam knows the answers to 80 percent of the questions, but when he does not know he simply guesses.  As he is not careful, if he does know the answer, he has a 10 percent chance of accidentally marking the wrong answer, even though he knows which one is correct.  What is the probability that he kmows the answer to question 13 given he marked it correctly?

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 6ECP: In Pennsylvania’s Cash 5 game, a player chooses five different numbers from 1 to 43. If these five...
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Sam is taking a multiple choice test.  Each question has 5 possible answers of which only one is correct.  Sam knows the answers to 80 percent of the questions, but when he does not know he simply guesses.  As he is not careful, if he does know the answer, he has a 10 percent chance of accidentally marking the wrong answer, even though he knows which one is correct.  What is the probability that he kmows the answer to question 13 given he marked it correctly?

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