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Question 1 : We play a game with coins. Player 1 wins if HHT is before HTT. Player 2 wins if HTT is before HHT. Which one is more likely to win ? I choose to bet on HHH. Is there a 3-sequence that beat it ? Question 2 : 2 players : you (player 1) and an other player (player 2). You select a number between 1 and 100 and the one that tells the bigger number has to pay the lower number to the other player. The player 2 says a random number between 1 and 100. What is the optimal strategy ? A third player comes in the game. Now the bigger number has to pay to the 2 other players the number that each one has told. We suppose that the third player is smart. Which strategy to beat him ?
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Trader intern

Interviewed at Jane Street

4.4★
Oct 20, 2019

Question 1 : We play a game with coins. Player 1 wins if HHT is before HTT. Player 2 wins if HTT is before HHT. Which one is more likely to win ? I choose to bet on HHH. Is there a 3-sequence that beat it ? Question 2 : 2 players : you (player 1) and an other player (player 2). You select a number between 1 and 100 and the one that tells the bigger number has to pay the lower number to the other player. The player 2 says a random number between 1 and 100. What is the optimal strategy ? A third player comes in the game. Now the bigger number has to pay to the 2 other players the number that each one has told. We suppose that the third player is smart. Which strategy to beat him ?

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