What is the expected value of your net winnings?

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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The following game is played in a particular carnival tent. You pay $1 to draw blindly 3 balls from a box without replacement. The box contains 10 balls and 4 of those balls are gold-colored. You get back your original $1 stake if you draw exactly 2 gold-colored balls, while you win $10 and get back your original $1 stake if you draw 3 gold-colored balls; otherwise, you get nothing back. What is the expected value of your net winnings? 

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