It seems possible we have been making an erroneous assumption.
For example, when discussing the possibility of getting Irresistible Force, we several times have said there is a 1-in-11 chance. Seems logical...you roll a pair of dice and you can get a 2,3,4,5,6,7,8,9,10,11, or 12. 11 possible outcomes. Or are there?
The only way to get a "2" is to roll a one on each die. One possible way.
The only way to get a "3" is to roll a one on one die and a 2 on the other. Since there are 2 possible ways to do that, there are actually 2 chances to score a 3.
Add in a "4" and it gets more complicated. You can roll a "4" and a "1" or each die can be a 2, so three possible ways.
By the time you get to rolling a "7" the numbers add up exponentially. You can roll a "6" and a "1", a "5" and a "2", or a "3" and a "4", more possible combinations than any other which is why statistically speaking, a "7" is the most frequent outcome for rolling a pair of dice.
So there are actually 36 possible combinations, not 11.
This changes things drastically.
Just something to think about.
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