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MathNet 2026 — Part 10 Question 167

Math Olympiad Vault · MathNet 2026 — Part 10

Question 167

There are seven green amoeba and three blue amoeba in a dish. Every minute, each amoeba splits into two identical copies; then, we randomly remove half the amoeba (thus there are always $10$ amoeba remaining). This process continues until all amoeba are the same color. What is the probability that this color is green?