Roll a fair six-sided die. You win $4 if you roll a number that is less than 3. You will lose $1 if you roll the number 6. If you roll any other number, you will neither win nor lose anything. Find...

Roll a fair six-sided die. You win $4 if you roll a number that is less than 3. You will lose $1 if you roll the number 6. If you roll any other number, you will neither win nor lose anything. Find the expected value (winnings) of this probability experiment to the nearest cent.