person A has a 30 sided and person B has a 20 sided die. both players role and the person with the highest role win (on a draw B wins). the loser pays the winner the value of the winners die. 1. calculate expected value of this game for player A (easy) 2. how does this value change if player B can re-roll and when should he re-roll. 3. now how much is it worth for player A to get a re-roll option in this scenario. 4. remove player A reroll. how many re-rolls do player B need in order for him to be a favorite in the game. i believed i solved 4 and 2 I had a decent idea but 3 is very difficult since optimal strategy might change based on opposing players optimal strategy.