You play a 100-round game: each round you can either roll a fair 20-sided die (uniform 1 to 20) or “lock in” the current face and collect that same reward for all remaining rounds. You must roll in the first round. What is your optimal stopping / locking strategy and expected value?
Calculate the optimal strategy for heads and tails game
You are playing a game where you flip a coin 5 times. You win if three heads come up in the 5 coin tosses. You lose if three tails come up in the 5 coin tosses. If you win you get £1. If you lose you lose £1. Before each flip you can choose to either double the stakes from their previous value (if you win you get £2n and if you lose you lose £2n where n is the amount you get if you win beforehand) or keep them the same. Are you willing to pay £0.50 to play this game?
Technical Coding Interview: "A trader asks you for the three largest trades made today. How would you find this information? What about the k-largest trades? How can you make this process more efficient?"
Expected value of a game
Please Tell me about yourself
Teach me something that interests you.
Give the top 3 numbers from a list without using any helper functions and algorithm. Preferably in one iteration.
Probability sort of type questions
angles between hands on a clock speeds of cars on a race track
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