Answer
See below.
Work Step by Step
By definition, the expected value is the sum of each outcome multiplied by its probability.
Hence here the expected value: $\frac{3}{10}\cdot4+\frac{1}{10}\cdot2+\frac{4}{10}\cdot(-2)+\frac{2}{10}\cdot(-3)=0$.
This means that after $10$ turns the player is expected to have the same money as he had before.