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 from a third party into one box randomly. "Take" empties out one box randomly and that money is yours. This game consists of 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.
You have a drawer of infinite socks in a 1:1 ratio, what is the expected number of draws to get a pair?
What's the expected number of getting an HTT
Creative questions you wont find on quant guide, combinatorics will be helpful but they talyor the questions to your skill set
Nash equilibrium problems with n players
Conditional probability question, EV card game question.
1. 10 people in a circle, how many hand shakes for each person to meet another person
Suppose you have a coin, and you flip it multiple times. What is the expected value of throws you need to have two heads or two tails?
Standard questions focused on probability
A game on slot machines of bayes theorem
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