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)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
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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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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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