In fact we can find the solution for any number of pirates. Now if the question is asked for 6 pirates, then you can answer similarly. Then A will make the following distribution:īy the same logic, A, C and E will vote in favour of the distribution and hence the distribution will be accepted. Hence because 50% pirates voted in favour of distribution, it will be accepted.ĥ.Now, If there are 5 pirates, A, B, C, D and E. Now, B and D will vote in favour of this distribution, because, If the distribution is not accepted and B dies, then C will have to make the distribution, and D will get nothing (see the distribution when there are 3 pirates above). Then B will make the following distribution: And the distribution is accepted (2 votes in comparison to 1 vote)Ĥ.If there are 4 pirates, say B, C, D, E. E knows that if C dies then D will make the next distribution and he will get nothing (see the distribution above for 2 pirates), hence E will also vote in favour (because they want to maximize their profit). He keeps everything to himselfĢ.If there are 2 pirates, say D and E (D senior to E), then D will distribute the coins like:ĭ will vote in favour of his distribution and the distribution will be accepted (because half people voted in favour).ģ.If there are 3 pirates, C, D, and E (C being senior most), then C will make the following distribution: If there is just one pirate, say E then the distribution is very easy. The solution to such puzzles can be easily found working in the bottom-up manner:ġ. So, finding a solution like this is very difficult. Suppose, If A decide to distribute 250 coins to each B, C, D and E and keeps nothing for himself, then also he will be killed, because all others will vote against him, they can get the same distribution even if A is killed, and pirates want other pirates to be killed.
Intuitively it may appear that A will have to give most of the money (if not all) to the junior pirates so that his life can be saved. How should A distribute the coins so that he does not get killed and also gets the maximum coins possible.
First of all, each pirate want to survive.When a pirate vote, they make their decision based on three factors (in this order):
If more than half votes against the distribution, then the senior most pirate will be killed and the next senior most will propose a new distribution and this will continue. If half or more pirates vote in the favour of distribution, then distribution is accepted and game ends.
#Pirates gold coins series
All the pirates (including the most senior) will vote on whether they accept the distribution or not. 4th Release in the Pirates of the Caribbean Series Premium Bullion Coin 1 Ounce of 99.99 pure Gold Officially licensed by Disney Strictly limited. The rules of distribution is as follows: - The most senior pirate should propose a distribution. These pirates have 1000 gold coins which they want to distribute among themselves. They have a strict hierarchy, A is senior to B, B is senior to C, C is senior to D and D is senior to E.
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