# dice probability issue

In the video game Settlers of Catan, territories/tiles are each (properly) arbitrarily appointed a number from 2 - 12. When that number is rolled as the amount of 2 dice, the floor tile creates sources for the gamer or gamers that have actually resolved it (practically: along it). A crucial element of the video game is taking into consideration the probability of each of these numbers emerging when picking where on the board to resolve. Gamers usually try floor tiles with the best probability of being rolled (depending additionally on what sources the floor tiles will certainly create and also the awaited deficiency of that source).

Occasionally gamers are confronted with the selection of resolving 2 floor tiles of either the very same number, or various varieties of equivalent probability - - eg: 2 floor tiles birthing the number 8, or 2 floor tiles birthing the number 6, or among each. Mathematically, one would certainly assume the end results are most likely to be just as excellent, as both numbers need to show up just as usually, therefore (once more, leaving apart which sources they generate) it should not matter. In truth, picking very same - number alternatives can generate below - optimum outcomes, as the numbers rolled do not flawlessly mirror concept - - ie: an offered number might be rolled even more or much much less regularly than would certainly be anticipated throughout a video game.

Exists a mathematical concept that makes up this? Is this merely an instance of tiny example mistake, where a number of hundred rolls might generate weird outcomes yet a million would certainly extra very closely hew to anticipated chances?

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