You are given three envelopes, one of which contains $100 and the others contain nothing. You randomly pick one envelope but don’t open it. The interviewer then opens one of the other two envelopes and shows that it’s empty. Now you have a choice: stick with your original envelope or switch to the other unopened envelope. What should you do to maximize your chances of winning, and why?
It was something like two players flip coins until one gets three heads. They take turns. Given that I go first and get heads, what is the probability that I win.
What is the probability of this and that given this and that.
What makes you into quantitative trading?
Card games associated with expectation. Options introduced to hedge against risks.
Dice games, coin games, card games
Expected value of the throwing die
Expected outcomes of dice games, optimal game strategies
You play a game with another player on rolling a die
Dice questions, and Markov processes
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