(30-45 minute interview. A decent chunk was spent with the guy lecturing me about speed in the real world) Four 50-sided dice are rolled so that the numbers are all different, then assigned randomly to players A,B,C,D. The players with the highest/lowest numbers pair up, as do the two middle ones. Then the team with the higher total pays the team with the lower total the difference. You are one of the players. Someone scoundrel approaches you with a hack to fix the game so that you start with a given number 1-50. Question 1: What is (one of?) the best number(s) to pick? Question 2: Say you answer X to Question 1. The scoundrel hosts an auction to sell the hack that lets you start with X. How do you bid? (As far as I can tell this is just asking for the expected value of the hack? Maybe they wanted a subtlety about bidding strategies?)