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October Surprise 2024

Puzzles in combinatorics and probability – Math circle

Puzzles in combinatorics and probability Ivan Mati ́c 1. There are 1000 green balls and 3000 red balls in container A, and 3000 green balls and 1000 red balls in container B. You take half of the balls from A at random and transfer them to B. Then you take one ball from B at random. What is the probability that this ball is green? 2.