Jane Street–styleQuant ResearcherQuantitative ResearcherQuestion #416
You throw 1,000 darts. Each dart has a 50% chance to score. For the first 500 darts, each is worth 1 point; for the next 500 darts, each is worth 3 points. If your total score is 1,500 points, what is the most likely number of 3-point darts you have scored?
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