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The pirates each have a unique rank, from the captain on down. The captain puts forth the first plan to divide up the gold, whereupon the pirates including the captain vote. If at least half the pirates vote for the plan, it is enacted, and the gold is distributed accordingly. If the plan free trial phone chat lines carol city fewer than half the votes, however, the captain is killed, the second-in-command is promoted, and the process starts over. Pirates always vote by the following rules, with the earliest rule taking precedence in a conflict:.

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Welcome to The Riddler. Every week, I offer up a problem related to the things we hold dear around here: math, logic and probability. These problems, puzzles and riddles come from lots of top-notch puzzle folks around the world — including you! Mull it over on your commute, dissect it on your lunch break, and argue about it with your friends and lovers.

Important small print: To be eligible, I need to receive your correct answer before p. EDT on Sunday — have a great weekend! You can find a solution to sex chat norwich free Riddler at free chat no registeration bottom of this post. The pirates each have a unique rank, from the captain on down.

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The captain puts forth the first plan to divide up the gold, whereupon the pirates including the captain vote. If at least half the pirates vote for the plan, it is enacted, and the gold is distributed accordingly.

If the plan gets fewer than washington state teen sex chat the votes, however, the captain is killed, the second-in-command is promoted, and the process starts over.

Pirates always vote by the following rules, with the earliest rule taking precedence in a conflict:. Extra credit : Solve the generalized problem where there are P pirates and G gold pieces.

Submit your answer Need a hint? You can try asking me nicely.

Want to submit a new puzzle or problem? me. The problem was a mini-meta-lesson in modeling.

The average of wins by the division champ i. These are the distributions of wins for all the teams:. You can simulate these simple seasons pretty easily with a few lines of code in the stats chula vista delayed flight chatting R. But what about a more realistic schedule? Nothing above, for example, precludes the possibility, though slim, that every team could win all its games.

In real life, this is not only unlikely but also impossible — a win for one team is a loss for another.

Geoff Buchan takes us through two other types of schedules, via computer simulation. First, using the actual Major League Baseball schedule, he found that the division champ averaged In that case, middle east chat rooms champ averaged Christopher Long has some baseball-season-simulating Python code.

Lessard explains that in a typical game season, the five AL East teams play 19 games against each of the other four teams for a total of 76 games. The other 86 games are against non-division opponents.

The large share of out-of-division games drowns out the difference between the distributions under the coin-flip assumption and the real-world-schedule assumption. Zach Wissner-Gross shows how the spread between the first-place team green and last-place sex talk chat rooms ansbach blue widens as the of divisional games grows. Riddler extension: More divisional games 76 in MLB means a wider spread!

Roger observed that the most wins in a real, game baseball season wasby the Seattle Mariners.

Can you solve the puzzle of the pirate booty?

He then asked how many teams would have to be in the division for the expected of wins by the division champ to be at least Very clever! He argued that it would take a division of million evenly matched teams. The inaugural bunch:.