You are on a TV show. You have been asked to either play a dice game five times or accept a $50 bill. The dice game works like this.
If you roll a 1, 2 or 3, you win $50.
If you roll a 4 or 5, you lose $20.
If you roll a 6, you lose $88.
Should you play the game? Use expected values and decision theory to justify your answer. (Round the answer to the nearest cent.)