Magic Box GameDiscrete Mathematics Level 2
You're playing a game show called "Magic Box", where you're given 4 identical balls to throw into one of the \(4\) boxes randomly. Each colored box will earn you multiple points as shown above. For example, if you put the balls into one box each, you'll get \(1+2+3+4 =10\) points.
What is the expected value of points earned from this game?