Разгадка, в которую невозможно поверить: задача о 100 заключённых [Veritasium]
Vert Dider・2 minutes read
A strategy involving a specific sequence of opening boxes increases the overall success rate of prisoners finding their numbers to 31%, ensuring that all prisoners in the same cycle have an equal chance of success or failure. This interconnected probability scenario guarantees that either all prisoners succeed or all fail, with the success rate remaining above 30% regardless of the number of prisoners involved.
Insights
- The strategy introduced in the scenario significantly increases the chances of success for all prisoners, reaching a 31% success rate by following a specific sequence of opening boxes based on numbers found.
- The success of the strategy hinges on closed chains of boxes, where the length of the chain determines the outcome, with a calculated 69% probability of failure and 31% probability of success due to cycle limitations.
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Recent questions
How do prisoners increase their chances of survival?
By following a specific sequence of opening boxes.
What is the success rate of the introduced strategy?
31%
What determines the success or failure of the strategy?
The length of the closed chains of boxes.
How does the strategy ensure equal chances for all prisoners?
By connecting individual success chances based on box layout.
What is the probability of failure in the scenario?
69%
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