1Now pls post the answer Celestine...m eagerly waiting for it!
5 pirates of different ages have a treasure of 100 gold coins.
On their ship, they decide to split the coins using this scheme:
The oldest pirate proposes how to share the coins, and all pirates remaining will vote for or against it.
If 50% or more of the pirates vote for it, then the coins will be shared that way. Otherwise, the pirate proposing the scheme will be thrown overboard, and the process is repeated with the pirates that remain.
Assuming that all 5 pirates are intelligent, rational, greedy, and do not wish to die, (and are rather good at math for pirates) what will happen?
ie wat does pirate 1 propose and so on
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33 Answers
1but my doubt is............d oldest and 1st pirate doesnt wish to die....and he knos if he takes away 97 coins......he will SURELY die
9dude this is a situation where 1st pirate claims 97 and still lives!
@eureka do u already know the ans ?
1wat??? he claims 97 coins and still gets d support and wins d election??? cool
1Well.... I dont kno about this 97 thing, but what I felt was, he wud live, if he gives more coins to the third pirate, as the second pirate is bound to vote for him(he wud be the next one to die, if he doesnt vote). The last one wud not vote in NE case as he has no risk of dying, and if all die, the gold will be his.
So he needs vote only from the third or fourth person!!
WEll......... according to the hint, he will take 97 coins and give two to the third, and one to the fourth person.
I think that must work [5]
1he wld gv 1 coin to the 5th pirate nd he wld agree to vote for him coz hez goin to get anything only if all others die
nd he wld gv 2 coins to the 4th one........
1k.........the 1st pirate will claim 97 gold coins to himself !
and noone will vote.....so he dies.....
now 4 left....the 2nd pirate will claim 97 gold coins to himself !
and noone will vote and he dies too....
1????intersting?????
@cele,from wer did you get this one?were u able to solve it?....
9got it in AOPS , yes i dont post Qs which i cant solve here
9ans
Working backwards, splits in terms of younger to older:
2 Pirates: pirate 1 always kills 2 here
3 Pirates: Pirate Three splits the coins 0 : 0 : 100. Pirate 1 is going to vote against him no matter what (see above), but this way, Pirate 2 will vote for him, to get at least save his life
4 Pirates: Pirate Four splits the coins 1 : 1 : 0 : 98. This way, Pirate One will vote for him, and so will Pirate Two - they're getting more than they would under 3 pirates.
5 Pirates: Pirate five splits the coins 2 : 0 : 1: 0 : 97
or 0 :2 : 1 : 0 :97
1that is a nice trick,but i have certain doubts...plz clarify those...
1. what is the explanation of distribution of 5th pirate...
2. what wud have happened if he distributed some coins like 2 to al others and 92 to himself?
3.why did not the others voted against him for this distribution...???
9if u understood exp for pirate 1,2,3,4 then for 5 its obvious
so i skipped it
9for Q2. see pirate 1 wants to get max amt without bein killed thats why he proposes 97 to himself
Q3. if others had voted against then see the consequences are unfavourable for them so they wont do that
24a very good puzzle cele..with a very simple soln too..................but let others try..[1][1]
AND PLZ EVERYONE GIVE UR ORIGINAL SOLUTIONS...[1][1]
24@akand........focus on celes hint...........its the only possible approach...[2][2]
1so even if he convinces 3 of them he will get money and he will not die......so 3 of d pirates may get 33 coins each......and d oder 2 none.......so its more than 50 perc....so it may be correct
1If 50% or more of the pirates vote for it, then the coins will be shared that way.
i think tht sentence is very important
1well.......all d pirates are equally greedy..and d oldest one also has a fear tht he wud die if he dint giv d correct decision.......
and since every1 is equally greedy...they may be happy if they all got d same no. of coins......so i think for d oldest to save himself and for evry1 to be happy.....
he wud give 20 coins to each of d pirate
9if i give u the ans ull understand theres a deeper thought
hint :
the 1st pirate will claim 97 gold coins to himself !
howzatt
1and celes will be d script writer....................eureka d director.....and me d HERO and prateek d heroine.........lolz
1i think d ship will drown.........and d 100 gold coins will become d "LOST TREASURE" for which evry1 will hunt for it for centuries....and eventually a movie will be made based on this story
24no akand..that way no one will vote for the eldest becoz all are equally greedy..........
1yaar since all of them r greedy so they all will try benefit themself.....
and since they try benfit themself.....other a will vote against him and he will be thrown...
so at last when two pirates r left they will decide and also the oldest of them will decide wat to do.....