I'll start us off with an easy one. You have 100 marbles, 50 black and 50 white. You have two jars. You may distribute the marbles in any manner you see fit between the two jars. Afterwards, I will select a jar at random, and draw a marble from that jar at random. Maximize the probability I draw a black marble. Bonus: what is that probability?
(January 24th, 2013, 10:39)darrelljs Wrote: I'll start us off with an easy one. You have 100 marbles, 50 black and 50 white. You have two jars. You may distribute the marbles in any manner you see fit between the two jars. Afterwards, I will select a jar at random, and draw a marble from that jar at random. Maximize the probability I draw a black marble. Bonus: what is that probability?
Darrell
Place one black marble in one of the two jars and the other 99 marbles in the other jar? Edit: Forgot to put in the probablilty: 1/2 + 1/2 x (49/99) = 74.74 repeating / 100
Merovech's Mapmaking Guidelines:
0. Player Requests: The player's requests take precedence, even if they contradict the following guidelines.
1. Balance: The map must be balanced, both in regards to land quality and availability and in regards to special civilization features. A map may be wonderfully unique and surprising, but, if it is unbalanced, the game will suffer and the player's enjoyment will not be as high as it could be.
2. Identity and Enjoyment: The map should be interesting to play at all levels, from city placement and management to the border-created interactions between civilizations, and should include varied terrain. Flavor should enhance the inherent pleasure resulting from the underlying tile arrangements. The map should not be exceedingly lush, but it is better to err on the lush side than on the poor side when placing terrain.
3. Feel (Avoiding Gimmicks): The map should not be overwhelmed or dominated by the mapmaker's flavor. Embellishment of the map through the use of special improvements, barbarian units, and abnormal terrain can enhance the identity and enjoyment of the map, but should take a backseat to the more normal aspects of the map. The game should usually not revolve around the flavor, but merely be accented by it.
4. Realism: Where possible, the terrain of the map should be realistic. Jungles on desert tiles, or even next to desert tiles, should therefore have a very specific reason for existing. Rivers should run downhill or across level ground into bodies of water. Irrigated terrain should have a higher grassland to plains ratio than dry terrain. Mountain chains should cast rain shadows. Islands, mountains, and peninsulas should follow logical plate tectonics.
I didn't come up with this one, but it was a fun riddle to figure out.
Quote:A group of people with assorted eye colors live on an island. They are all perfect logicians -- if a conclusion can be logically deduced, they will do it instantly. No one knows the color of their eyes. Every night at midnight, a ferry stops at the island. Any islanders who have figured out the color of their own eyes then leave the island, and the rest stay. Everyone can see everyone else at all times and keeps a count of the number of people they see with each eye color (excluding themselves), but they cannot otherwise communicate. Everyone on the island knows all the rules in this paragraph.
On this island there are 100 blue-eyed people, 100 brown-eyed people, and the Guru (she happens to have green eyes). So any given blue-eyed person can see 100 people with brown eyes and 99 people with blue eyes (and one with green), but that does not tell him his own eye color; as far as he knows the totals could be 101 brown and 99 blue. Or 100 brown, 99 blue, and he could have red eyes.
The Guru is allowed to speak once (let's say at noon), on one day in all their endless years on the island. Standing before the islanders, she says the following:
"I can see someone who has blue eyes."
Who leaves the island, and on what night?
There are no mirrors or reflecting surfaces, nothing dumb. It is not a trick question, and the answer is logical. It doesn't depend on tricky wording or anyone lying or guessing, and it doesn't involve people doing something silly like creating a sign language or doing genetics. The Guru is not making eye contact with anyone in particular; she's simply saying "I count at least one blue-eyed person on this island who isn't me."
