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Subject: Dice roll statistics rss

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Oszvald Juhasz
Hungary
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For those who wondered before, I just made some statistics of our past few games (241 dice rolls). I wrote up all the dice roll results, and punched them into an excel diagram.
Behold! (real results)


Then just for fun, I made a random number generation on computer for 2d6, and this is the result for same number of rolls:




For 10000 rolls, the computer-generated numbers seem to be more equalized, but the thief still remains very active:

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Doug Hook
United States
Lansing
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bigbluehun wrote:


For those who wondered before, I just made some statistics of our past few games. I wrote up all the dice roll results, and punched them into an excel diagram.
Behold!
Depending on how many die rolls in your statistics you may want to consider using the "Event Cards," getting new dice or a much larger sample size.
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Oszvald Juhasz
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This was the result of 241 rolls. For larger numbers, fully-balanced dice, the results would be different.
Considering you have 36 different results from 2d6 rolls, you will have:
- 1 roll of 2 in every 36,
- 2 rolls of 3 in every 36,
- 3 rolls of 4 in every 36,
- 4 rolls of 5 in every 36,
- 5 rolls of 6 in every 36,
- 6 rolls of 7 in every 36,
- 5 rolls of 8 in every 36,
- 4 rolls of 9 in every 36,
- 3 rolls of 10 in every 36,
- 2 rolls of 11 in every 36,
- 1 roll of 2 in every 36.
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Chris Miller

Missouri
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Right. It's a statistical certainty that with fair dice and an infinite number of rolls, the distribution will approach the numbers that Oszvald gives. For more detailed info, the wikipedia article is pretty good:

http://en.wikipedia.org/wiki/Dice#Probability
 
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Paul Gansen
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WOOO for Math! Yes, as the trials increase it is likely the rolls will become closer to their theoretical probability. What makes Settlers great is that within a game that may have under 300 dice rolls, it may not be an accurate sample size. I played a game on thanksgiving and we hand many more 9s and 5s than we did 6s. Yea math!
 
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