Dice Game Simulation
Consider the following dice game: You get to roll a dice up to six times. You can stop rolling whenever you wish and you get the dollar amount shown on that roll. For example, Steve rolls a 5, 1, 3, 4, and decides to stop. He wins $4. David rolls a 5, 4, 3, 6 and stops. David wins $6.
Let’s assume you keep rolling until you get a 4 or greater, then you stop. How much would you typically win?