Ms Loom is writing a quiz that contains a multiple-choice question with five possible answers. There is 30% chances that Ms Loom will not know the answer to the question, and she will guess the answer. If Ms Loom guesses, then the probability of choosing the correct answer is 0.20. What is the probability that Ms Loom really knew the correct answer, given that she correctly answers a question?

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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Ms Loom is writing a quiz that contains a multiple-choice question with five possible 
answers. There is 30% chances that Ms Loom will not know the answer to the question, 
and she will guess the answer. If Ms Loom guesses, then the probability of choosing the 
correct answer is 0.20. What is the probability that Ms Loom really knew the correct answer, 
given that she correctly answers a question?

 

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