Posterior Probability of a Two-Headed Coin After Three Heads
Company: DRW
Role: Quantitative Researcher
Category: Statistics & Math
Difficulty: hard
Interview Round: Onsite
Overview: Bayesian probability question with three coins: a fair coin, a coin that lands heads with probability 0.8, and a two-headed coin. After a randomly selected coin shows heads on all three tosses, find the probability that the two-headed coin was chosen, testing Bayes' rule, likelihoods, and normalization.
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