First to 100 Game - Quant Trader Interview Question
Difficulty: Medium
Category: Game Theory & Logic
Practice quant interview questions from top firms including Jane Street, Citadel, Two Sigma, DE Shaw, and other leading quantitative finance companies.
Topics: game-theory, logic, optimal-strategy, mental-math
Problem Description
Two players take turns adding a number between 1 and 10 (inclusive) to a running sum, starting from 0. The first player to reach a sum of exactly 100 wins. You go first. What number should you choose on your first turn to guarantee a win, assuming you play optimally?
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