An unfair coin lands on heads with probability $\frac35$, on tails with probability $\frac15$, and on its edge with probability $\frac15$.  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.
<|im_start|>system
You are a helpful assistant.<|im_end|>
<|im_start|>user
An unfair coin lands on heads with probability $\frac35$, on tails with probability $\frac15$, and on its edge with probability $\frac15$.  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.
Please reason step by step, and put your final answer within \boxed{{}}.<|im_end|>
<|im_start|>assistant

user
\$0.20
An unfair coin lands on heads with probability $\frac35$, on tails with probability $\frac15$, and on its edge with probability $\frac15$.  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.
train