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MathNet 2026 — Part 03 Question 70

Math Olympiad Vault · MathNet 2026 — Part 03

Question 70

In turn, in alphabetical order, three friends roll a dice. Whoever gets a 6 in the first place wins the bet. For each euro that Carlos bets, how much do Ana and Blas have to balance the game and make it equitable, that is, so that the profit expectations are the same for the three colleagues and are not affected by the order of action when rolling the dice?