IMC Trading Interview Questions

Draw the payoff diagrams for buying and selling a call option and a put option.

Brainteaser: If there are 27 clinks (glasses clinking) in a room, how many people are there?

What is the expected number of coin flips required for two players, who take turns flipping, to get two tails in a row?

Five people are sitting at a circular table. What is the probability that they are seated in the order of their birthdays?

A robot is placed on a table that is 20 cm wide. The robot starts at a point 3 cm away from one of the edges. Each step, it moves either 10 cm to the left or 10 cm to the right with equal probability. What is the expected number of steps until the robot falls off the table?