Suppose you are answering a multiple choice question with 5 choices. The probability that you know the answer is 0.9. If you don’t know the answer, you choose one at random. Draw a properly labelled tree diagram for this situation, then calculate the following probabilities, showing all of your work. Enter your final answers below, rounded to four decimal places. What is the probability that you answer the question correctly?   What is the probability that you knew the answer to the question, given that you answered it correctly?

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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Suppose you are answering a multiple choice question with 5 choices. The probability that you know the answer is 0.9. If you don’t know the answer, you choose one at random.

Draw a properly labelled tree diagram for this situation, then calculate the following probabilities, showing all of your work. Enter your final answers below, rounded to four decimal places.

What is the probability that you answer the question correctly?

 

What is the probability that you knew the answer to the question, given that you answered it correctly?

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