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Posted

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.

[size=14pt][b]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?[/b][/size]

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Posted

[quote author=Emperor link=topic=179454.msg2188077#msg2188077 date=1302150263]
nothing  sCh_elmodance2 sCh_elmodance2
[/quote]

*7*^ *7*^ *7*^

Posted

[quote author=Nellore Pedda reddy link=topic=179454.msg2188084#msg2188084 date=1302150306]
*7*^ *7*^ *7*^
[/quote]tappa [img]http://www.gifsoup.com/view6/2226953/samantha-laughing-o.gif[/img]

Posted

[quote author=Emperor link=topic=179454.msg2188089#msg2188089 date=1302150351]
tappa [img]http://www.gifsoup.com/view6/2226953/samantha-laughing-o.gif[/img]
[/quote]

Doubt aa    [img width=320 height=240]http://www.gifsoup.com/view6/2226953/samantha-laughing-o.gif[/img]

Posted

youngest person batike chances ekkuva unnatyi.. sCo_hmmthink

Posted

last 2 young pirates will share it accordingly..

Posted

[quote author=Nellore Pedda reddy link=topic=179454.msg2188092#msg2188092 date=1302150385]
Doubt aa    [img]http://www.gifsoup.com/view6/2226953/samantha-laughing-o.gif[/img]
[/quote]nenu science student baa... [img width=320 height=240]http://www.gifsoup.com/view6/2226953/samantha-laughing-o.gif[/img]

Posted

[color=red]The eldest pirate will propose a 97 : 0 : 1 : 0 : 2 split.

Working backwards, splits in terms of younger to older:

2 Pirates: Pirate Two splits the coins 100 : 0 (giving all to the other pirate). Otherwise, and perhaps even then, Pirate One (the youngest) would vote against him and over he goes!

3 Pirates: Pirate Three splits the coins 0 : 1 : 99. Pirate One (the youngest) is going to vote against him no matter what (see above), but this way, Pirate Two will vote for him, to get at least one gold out of it.

4 Pirates: Pirate Four splits the coins 1 : 2 : 0 : 97. 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. This way, Pirate One will vote for him, and so will Pirate Three - they're both getting better than they would under 4.[/color]

Posted

The eldest pirate will propose a 97 : 0 : 1 : 0 : 2 split.

Working backwards, splits in terms of younger to older:

2 Pirates: Pirate Two splits the coins 100 : 0 (giving all to the other pirate). Otherwise, and perhaps even then, Pirate One (the youngest) would vote against him and over he goes!

3 Pirates: Pirate Three splits the coins 0 : 1 : 99. Pirate One (the youngest) is going to vote against him no matter what (see above), but this way, Pirate Two will vote for him, to get at least one gold out of it.

4 Pirates: Pirate Four splits the coins 1 : 2 : 0 : 97. 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. This way, Pirate One will vote for him, and so will Pirate Three - they're both getting better than they would under 4.

Source:- [url=http://www.mathsisfun.com/puzzles/5-pirates-solution.html]http://www.mathsisfun.com/puzzles/5-pirates-solution.html[/url]  ~"! ~"! ~"!

Posted

[quote author=SOURYAM link=topic=179454.msg2188093#msg2188093 date=1302150391]
youngest person batike chances ekkuva unnatyi.. sCo_hmmthink
[/quote]

nenu adigedi yela panchukuntaru ani  @3$% @3$%    say for ex. 0: 0: 1: 2: 97 

Posted

[quote author=SOURYAM link=topic=179454.msg2188105#msg2188105 date=1302150516]
[color=red]The eldest pirate will propose a 97 : 0 : 1 : 0 : 2 split.

Working backwards, splits in terms of younger to older:

2 Pirates: Pirate Two splits the coins 100 : 0 (giving all to the other pirate). Otherwise, and perhaps even then, Pirate One (the youngest) would vote against him and over he goes!

3 Pirates: Pirate Three splits the coins 0 : 1 : 99. Pirate One (the youngest) is going to vote against him no matter what (see above), but this way, Pirate Two will vote for him, to get at least one gold out of it.

4 Pirates: Pirate Four splits the coins 1 : 2 : 0 : 97. 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. This way, Pirate One will vote for him, and so will Pirate Three - they're both getting better than they would under 4.[/color]
[/quote] %<>( %<>( %<>( %<>( %<>(

Posted

[quote author=Musugu_Veerudu link=topic=179454.msg2188107#msg2188107 date=1302150522]
The eldest pirate will propose a 97 : 0 : 1 : 0 : 2 split.

Working backwards, splits in terms of younger to older:

2 Pirates: Pirate Two splits the coins 100 : 0 (giving all to the other pirate). Otherwise, and perhaps even then, Pirate One (the youngest) would vote against him and over he goes!

3 Pirates: Pirate Three splits the coins 0 : 1 : 99. Pirate One (the youngest) is going to vote against him no matter what (see above), but this way, Pirate Two will vote for him, to get at least one gold out of it.

4 Pirates: Pirate Four splits the coins 1 : 2 : 0 : 97. 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. This way, Pirate One will vote for him, and so will Pirate Three - they're both getting better than they would under 4.

Source:- [url=http://www.mathsisfun.com/puzzles/5-pirates-solution.html]http://www.mathsisfun.com/puzzles/5-pirates-solution.html[/url]  ~"! ~"! ~"!
[/quote]cofy cat [img]http://www.gifsoup.com/view6/2226953/samantha-laughing-o.gif[/img]

Posted

[quote author=Musugu_Veerudu link=topic=179454.msg2188107#msg2188107 date=1302150522]
The eldest pirate will propose a 97 : 0 : 1 : 0 : 2 split.

Working backwards, splits in terms of younger to older:

2 Pirates: Pirate Two splits the coins 100 : 0 (giving all to the other pirate). Otherwise, and perhaps even then, Pirate One (the youngest) would vote against him and over he goes!

3 Pirates: Pirate Three splits the coins 0 : 1 : 99. Pirate One (the youngest) is going to vote against him no matter what (see above), but this way, Pirate Two will vote for him, to get at least one gold out of it.

4 Pirates: Pirate Four splits the coins 1 : 2 : 0 : 97. 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. This way, Pirate One will vote for him, and so will Pirate Three - they're both getting better than they would under 4.

Source:- [url=http://www.mathsisfun.com/puzzles/5-pirates-solution.html]http://www.mathsisfun.com/puzzles/5-pirates-solution.html[/url]  ~"! ~"! ~"!
[/quote]
%<>( %<>( %<>( %<>( %<>( %<>(

Posted

[quote author=Musugu_Veerudu link=topic=179454.msg2188111#msg2188111 date=1302150547]
%<>( %<>( %<>( %<>( %<>(
[/quote]
*7*^ *7*^ *7*^ *7*^ *7*^

first vesindi nene  @3$% @3$%

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