Quant interview questions

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• The pot holds $60 and your opponent bets $30.Games, decision theory and puzzles · Foundation
• Twenty-one matches, players alternate taking one, two or three, and whoever…Games, decision theory and puzzles · Foundation
• Two players take turns flipping a fair coin, and the first to flip heads wins.Games, decision theory and puzzles · Foundation
• Two players take turns adding a whole number from 1 to 10 to a running total…Games, decision theory and puzzles · Foundation
• In Texas Hold'em, you are dealt pocket aces once in how many hands, on average?Games, decision theory and puzzles · Foundation
• The pot holds $150 including your opponent’s bet, and you must call $50.Games, decision theory and puzzles · Foundation
• What is the angle, in degrees, between the hour and minute hands of a clock at 3:15?Games, decision theory and puzzles · Foundation
• Pennies with uneven stakes, part 1 of 3Games, decision theory and puzzles · Foundation
• Three heaps of Nim, part 1 of 3Games, decision theory and puzzles · Foundation
• A die game with paid re-rolls, part 1 of 3Games, decision theory and puzzles · Foundation
• Hiring the best candidate, part 1 of 3Games, decision theory and puzzles · Foundation
• You roll a fair die and may re-roll once, keeping the second value if you do.Games, decision theory and puzzles · Applied · Free solution
• In the secretary problem, what is the probability the optimal policy finds the…Games, decision theory and puzzles · Applied
• Twelve coins, one counterfeit and either heavier or lighter.Games, decision theory and puzzles · Applied
• In a zero-sum game, what characterises your opponent’s optimal mixing frequencies?Games, decision theory and puzzles · Applied
• You have two eggs and a 100-storey building.Games, decision theory and puzzles · Applied
• A hundred closed doors.Games, decision theory and puzzles · Applied
• You hold a flush draw after the flop: nine cards complete it and 47 are unseen.Games, decision theory and puzzles · Applied
• When is a game-theory-optimal strategy the wrong choice against a specific opponent?Games, decision theory and puzzles · Applied
• Nim with piles of 3, 4 and 5: you move first and the player taking the last counter wins.Games, decision theory and puzzles · Applied
• In a sealed-bid auction where the winner pays the second-highest bid, what should you bid?Games, decision theory and puzzles · Applied
• Everyone names a number in [0,100] and whoever is closest to two thirds of the…Games, decision theory and puzzles · Applied
• Twenty-five horses, a track that races five at a time, and no timing device.Games, decision theory and puzzles · Applied
• Two ropes each burn for exactly sixty minutes, but not at a uniform rate.Games, decision theory and puzzles · Applied
• You may roll a fair die up to three times and are paid the face value of the…Games, decision theory and puzzles · Applied
• A fair coin is flipped until the first tail.Games, decision theory and puzzles · Applied
• A six-chamber revolver holds two bullets in adjacent chambers.Games, decision theory and puzzles · Applied
• In a zero-sum game you and an opponent each show heads or tails.Games, decision theory and puzzles · Applied
• In the ultimatum game one player proposes how to split $100 in whole dollars…Games, decision theory and puzzles · Applied
• On the river the pot is $100 and you bet $50 with a polarised range – hands…Games, decision theory and puzzles · Applied
• After the flop you hold an open-ended straight draw: eight cards complete it…Games, decision theory and puzzles · Applied
• Two players each wear a red or blue hat chosen by coin flip.Games, decision theory and puzzles · Applied
• Four people must cross a bridge at night with one torch.Games, decision theory and puzzles · Applied
• One of 1000 bottles of wine is poisoned, and the poison kills within a day.Games, decision theory and puzzles · Applied
• Pennies with uneven stakes, part 2 of 3Games, decision theory and puzzles · Applied
• Three heaps of Nim, part 2 of 3Games, decision theory and puzzles · Applied
• A die game with paid re-rolls, part 2 of 3Games, decision theory and puzzles · Applied
• Hiring the best candidate, part 2 of 3Games, decision theory and puzzles · Applied
• You may re-roll a fair die as often as you like, free of charge, and are paid…Games, decision theory and puzzles · Advanced · Free solution
• Unlimited re-rolls of a fair die, but each re-roll costs $1 and you are paid…Games, decision theory and puzzles · Advanced