Question

Heya all !

Warden and prisoners riddle problem


Hello there Brainliacs! Today, I've got an interesting puzzle. It's a little bit tricky and can be confusing, so make sure you're thinking it through !


Warden and prisoners riddle

23 selected prisoners are summoned by the warden. He gives them a choice of playing a game with him that might ensure their escape from the prison or might as well lead them towards painful death. The prisoners think that this is the only chance for them to be free again and agrees to him.

The warden tell them that there is a room which has just two switches which are labelled 1 or 2. The switches may be up or down and the condition is not known at present. They are not connected to anything. The warden may select any prisoner on any day and send him to the switch room. The prisoner will have to select any one switch and reverse its position i.e. if it is up, he will turn it down and if it is down, he will turn it up. He can and must only flip one switch and then he will be confined to his cell again.

The warden may choose the same prisoner more than one time and he will be choosing completely randomly. But at a certain point of time, everyone will have visited the switch room. And at any time, the prisoners may declare that everyone has visited the room at least once. If they will be true, they will be set free but if they will be wrong, they will be killed.

The warden gives them an hour to plan any kind of strategy and then they will be confined to their respective cells and will never be allowed to meet. What strategy can help them be free?

Enjoy guys :)

Answer 1

hiiii brother!!!!

it is the most tricky question I have seen on brainly...

yes ,a strategy may help them out of this dangerous situation.....

it may be_____________________________

As we know ,there are 23 prisoners and warden said them about the 2 switches labelled as 1 and 2 . these 2 switches may be up and down in the 1st chance..
every prisoner have 2 flip it in another position if it is up then he should flip it down and if it is down then he should flip up it...but there are 2 switches so prisoners can chooSe any switch to flip .


1st they should decide a appropriate flipping strategy like they will flip up and down only a switch. obviously if we will flip any switch again and again it will stuck ,if it then the prisoner who will present at the moment he can flip it 2 time. if it will happen then the prisoners can prove that the total no.of prisoners is equal to the total no. of flip of switch.
but if the sticking may not occur then we can consider the situation as
warden give more than one chance to any one , let it be twice mean warden give 2 chances to 22 prisoners respectively.
if the first position of a switch is up then it will in same condition now...
if the no.of switch flipped once can be 44 then it will clear to warden that all prisoners haf visited the room and flipped the switch.

now , the prisoners can said that there is a person who flip switch just only once , tHis situation creat a confirmation that all the prisoners had visited the room .

now , no one of them will kill or stuck in prison.

hope this helps!!!

Answer 2

Hiiii brother!!!!

it is the most tricky question I have seen on brainly...

yes ,a strategy may help them out of this dangerous situation.....

it may be_____________________________

As we know ,there are 23 prisoners and warden said them about the 2 switches labelled as 1 and 2 . these 2 switches may be up and down in the 1st chance..
every prisoner have 2 flip it in another position if it is up then he should flip it down and if it is down then he should flip up it...but there are 2 switches so prisoners can chooSe any switch to flip .


1st they should decide a appropriate flipping strategy like they will flip up and down only a switch. obviously if we will flip any switch again and again it will stuck ,if it then the prisoner who will present at the moment he can flip it 2 time. if it will happen then the prisoners can prove that the total no.of prisoners is equal to the total no. of flip of switch.
but if the sticking may not occur then we can consider the situation as
warden give more than one chance to any one , let it be twice mean warden give 2 chances to 22 prisoners respectively.
if the first position of a switch is up then it will in same condition now...
if the no.of switch flipped once can be 44 then it will clear to warden that all prisoners haf visited the room and flipped the switch.

now , the prisoners can said that there is a person who flip switch just only once , tHis situation creat a confirmation that all the prisoners had visited the room .

now , no one of them will kill or stuck in prison.

hope this helps!!!