You have 100 marbles, 50 are blue, 50 are red. You want to distribute them between two drawers, in such a way that none is left outside and no drawer is left empty. After distributing them you are gonna select a drawer randomly and from that drawer you are gonna remove one marble randomly. How do you distribute the marbles in such a way that the probability of getting a red marble is maximized?

Imagine you have a 9-sided die, you get points corresponding to the face of the die after rolling, however, rolling a 9 ends the game and gives score of 0. what is your expected value of the game, how would you play?