A lawyer sometimes represents client for a contingency fee.The lawyer only gets paid for services rendered if the client wins the case.

A lawyer sometimes represents client for a contingency fee. The lawyer only gets paid for services rendered if the client wins the case. Suppose a client is suing someone for $400,000 and the lawyer's fee is 10% of the settlement. The lawyer will spend $2,000 preparing the case and believes there is a 20% chance of winning the case. Find the lawyer's expected profit.