A bag contains 3 red marbles, 9 white marbles, and 15 blue marbles. You randomly select one marble from the bag. If it is red, you win $4. If it is white, you win $2. If it is blue, you lose $1. What is your expected value when playing this game? Round your answer to the nearest cent. %24

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 9CC
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A bag contains 3 red marbles, 9 white marbles, and 15 blue marbles.
You randomly select one marble from the bag.
If it is red, you win $4. If it is white, you win $2. If it is blue, you lose $1.
What is your expected value when playing this game?
Round your answer to the nearest cent.
Transcribed Image Text:A bag contains 3 red marbles, 9 white marbles, and 15 blue marbles. You randomly select one marble from the bag. If it is red, you win $4. If it is white, you win $2. If it is blue, you lose $1. What is your expected value when playing this game? Round your answer to the nearest cent.
Expert Solution
Step 1

Ans#- Given, A bag contain 3 red marbles, 9 white marbles, and 15 blue marbles.

           Total = 3 +9 + 15 = 27 marbles

           You randomly select one marble from the bag.

           If it is red, you win $4. If it is white, you win $2. If it is blue, you loss $1.

           Find the expected value

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