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The Settlers of Catan's game play is primarily driven by dice odds, as observed in the red colored number chits and the varying sized numbers on the chits in the German versions or number of dots on the English versions. A single die roll has equal statistics between the numbers, however two dice rolled together have 36 different combinations that can result. The statistical probabilities of each dice roll combination is as follows:

#2 – Only 1&1 will make 2. There is only 1 way to roll a 2. (1 dot on the chit)

#3 – 1&2, 2&1. There are 2 ways to roll a 3. (2 dots on the chit)

#4 – 1&3, 2&2, 3&1. There are 3 ways to roll a 4. (3 dots on the chit)

#5 – 1&4, 2&3, 3&2, 4&1. There are 4 ways a to roll a 5. (4 dots on the chit)

#6 – 1&5, 2&4, 3&3, 4&2, 5&1. There are 5 ways to roll a 6. (5 dots on the chit)

#7 – 1&6, 2&5, 3&4, 4&3, 5&2, 6&1. There are 6 ways to roll a 7. (No chit, but one is pictured on the Event Cards)

#8 – 2&6, 3&5, 4&4, 5&3, 6&2. There are 5 ways to roll an 8. (5 dots on the chit)

#9 – 3&6, 4&5, 5&4, 6&3. There are 4 ways a to roll a 9. (4 dots on the chit)

#10 – 4&6, 5&5, 6&4. There are 3 ways to roll a 10. (3 dots on the chit)

#11 – 5&6, 6&5. There are 2 ways to roll an 11. (2 dots on the chit)

#12 – Only 6&6 will make 12. There is only 1 way to roll a 12. (1 dot on the chit)

The means that building settlements and cities on 6s and 8s (red chits with 5 dots) have the highest probability of success when rolling while building on a 2 and 12 have the lowest. It is generally wise to build settlements on an intersection with a combination of high probability numbers.

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