#### Hadoblado

##### think again losers

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- Joined
- Mar 17, 2011

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100 prisoners are on death row. They are offered the chance to live if they successfully complete a game of chance.

The rules are as follows:

- Each prisoner has a number from 1 to 100.

- Each prisoner enters the box room, containing 100 boxes, each box has a number on top from 1 to 100 in order.

- In each of the boxes, a piece of paper with a number from 1 to 100 is placed. For example:

- Each prisoner must find their number before leaving the room or all prisoners die. Prisoners do not keep their number, they place it back in the box they found it in.
- Each prisoner can open up to 50 boxes before they must leave the room.
- If a prisoner opens their 50th box without finding their number, all prisoners are executed immediately.

- The room is hard reset after each prisoner down to the atom.
- There is zero communication between prisoners who have entered the room, and those who haven't. No exceptions, this is not a trick question. For all intents and purposes the only thing the prisoners will know about each other following the experience is that they did not get executed.

What should the prisoners plan in order to secure the greatest chance of success?

There is no fool-proof answer. The best-known solution has a <33% success rate. If each prisoner guesses at random, their chances are basically zero. This question is honest and the answer is maths based but unintuitive. If you have a question I'll answer it, but chances are if you're unsure if it's allowed it's not allowed.