Your question is Optimal Die-Roll Strategy. Take a moment with it on the right.
Talk me through your thinking if you like. When you're confident, submit your answer and I'll grade it like a real screen (7/10 or better passes).
You are presented with a game where you can roll a die up to three times. You can stop at any time and receive the dollar amount of your roll. What is your optimal strategy and expected payout? Assume the die is fair, each roll is independent, and the payout equals the face value in dollars. State the stopping rule after each possible roll and calculate the expected payout from the start.