You are playing a one-player game with two opaque boxes. At each turn, you can choose to either "place" or "take". "Place" places $ 1 $1 from a third party into one box randomly. "Take" empties out one box randomly and that money is yours. This game consists of 100 100 turns where you must either place or take. Assuming optimal play, what is the expected payoff of this game? Note that you do not know how much money you have taken until the end of the game.
Question about dice rolls and the probability distribution of sum. Play a game with the interviewer and decide the optimal choice
Conditional probability and expected value questions.
EV's of various pretty basic dice games
Optimization question - dice game (2 dices)
Questions relating to coin toss probability
probability, brainteaser, and some similar stuff
Question on Game theory: if you know the opponents betting strat, how would you respond?
probability questions about dies and flash cards
Flip 3 coins, what's best against HHH?
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