Puzzles and some strategy problems
Quantitative Trader Interview Questions
1,133 quantitative trader interview questions shared by candidates
Simple probability and UKMT style questions
Some simple dice/card questions to start.
What is the probability that in n coin tosses the number of heads will be even?
Fischer-Yates shuffle
Coin flipping and bid making problems as already listed on Glassdoor.
You have 100 light bulbs, labeled from 1 to 100. Initially, all of them are off. You perform 100 rounds of toggling: On round 1, toggle every bulb (they all turn on). On round 2, toggle every 2nd bulb (bulbs 2, 4, 6, …). On round 3, toggle every 3rd bulb (bulbs 3, 6, 9, …). ... On round 100, toggle bulb 100. Toggling a bulb means: if it's on, turn it off; if it's off, turn it on. Question: After all 100 rounds, which bulbs are on?
Optimal Strategy/Stopping after how many rounds
The interviewer described some kind of game, and asked for the optimal strategy.
Probability question regarding deck of cards and EV
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