Quantitative Interview Questions

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[tps_title]Quantitative Interview Questions[/tps_title]

cardsYou have a 52 card deck with 26 red and 26 black card. You will play a game at a casino, where you are to draw cards one by one. Drawing a red card pays you $100, while drawing a black card costs you $100. You may leave the game at any time. Cards are discarded from play once they are drawn from the shoe. Determine 2 items: (1) what the optimal stopping rule is in terms of maximizing your expected payoff and (2) what the expected payoff is of this strategy.