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pow:problem3f25 [2025/10/06 21:56] mazur |
pow:problem3f25 [2025/10/06 21:57] (current) mazur |
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- | <box 85% round orange| Problem 3, corrected (due Monday, October 6 )> | + | <box 85% round orange| Problem 3 (due Monday, October 6 )> |
24 friends regularly attend parties organized by a puzzle-loving host. | 24 friends regularly attend parties organized by a puzzle-loving host. | ||
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</box> | </box> | ||
We have not received any solutions, except some useful comments from Matt Wolak, who knew a slightly different | We have not received any solutions, except some useful comments from Matt Wolak, who knew a slightly different | ||
- | version of this problem. There is a strategy which guarantees free ride home with probability slightly exceeding 2/5. We do not know if a better strategy exists. For a detailed solution | + | version of this problem. There is a strategy which guarantees free ride home with probability slightly exceeding 2/5. We do not know if a better strategy exists. For a detailed solution see the following link {{:pow:2025fproblem3.pdf|Solution}}. |