The 1000-Coin Conundrum - 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: probability, bayes-theorem, mental-math, conditional-probability
Problem Description
You are presented with 1000 coins. 999 are fair, and 1 is a double-headed coin (two heads). You randomly select one coin from the pile and flip it 10 times, observing 10 heads in a row.
What is the approximate probability that you selected the double-headed coin?
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