Brandon is setting up his own carnival game. His plan is to make sure that the game has a negative expected value, because that will be the most beneficial for his own profit. He decides to set the following rules. You pay $10 to play, and then you get to throw one dart at a dartboard. The dartboard is broken up into 8 equally sized sections. 3 of the sections are red. 4 of the sections are blue. 1 of the sections is green. If your dart hits the green section, Brandon hands you $30. If your dart hits any of the red sections, he gives you $15. If your dart hits any of the blue sections, you win nothing. What is the expected value for one turn? (Just write the number rounded to the nearest thousandths without the dollar sign. ie. 0.123 or -0.123)

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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Brandon is setting up his own carnival game. His plan is to make sure that the game has a negative expected value, because that will be the most beneficial for his own profit. He decides to set the following rules. You pay $10 to play, and then you get to throw one dart at a dartboard. The dartboard is broken up into 8 equally sized sections. 3 of the sections are red. 4 of the sections are blue. 1 of the sections is green. If your dart hits the green section, Brandon hands you $30. If your dart hits any of the red sections, he gives you $15. If your dart hits any of the blue sections, you win nothing. What is the expected value for one turn? (Just write the number rounded to the nearest thousandths without the dollar sign. ie. 0.123 or -0.123) 

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