jmc

An unfair coin lands on heads with probability $\frac{3}{5}$, on tails with probability $\frac{1}{5}$, and on its edge with probability $\frac{1}{5}$. If it comes up heads, I win 4 dollars. If it comes up tails, I lose 1 dollar. But if it lands on its edge, I lose 10 dollars. What is the expected winnings from one flip? Express your answer as a dollar value, rounded to the nearest cent.