Math Riddle: There are five rational pirates, A, B, C, D and E. T

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Category : MathSubmitted By : Chris
There are five rational pirates, A, B, C, D and E. TRiddle Rating
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Riddle:

There are five rational pirates, A, B, C, D and E. They find 100 gold coins. They must decide how to distribute them. The pirates have a strict order of seniority: A is superior to B, who is superior to C, who is superior to D, who is superior to E. The pirates also follow strict rules of coin distribution, which are thus: the most senior pirate should propose a distribution of coins. The pirates, including the senior pirate, then vote on whether to accept this distribution. If the proposed allocation is accepted by a majority vote, it happens. If not, the proposer is thrown overboard from the pirate ship and dies, and the next most-senior pirate makes a new proposal to begin the system again. In the event of a tie vote, the most senior pirate has the casting vote. Pirates base their decisions on three factors, in order of priority: First of all, each pirate wants to survive. Second, each pirate wants to maximize the number of gold coins he receives. Third, all things being equal, a pirate would prefer to throw the most-senior pirate overboard. Determine the number of coins each pirate receives.

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