The way I understand it, you win on a 2 or 3; lose on a 7 or 11; push on a 12; go to point phase for 4-6 8-10. So that means you can win on 2 numbers, lose on 2, push on 1, and go to 50:50 odds with the others. Seems like the house doesn’t have an advantage. (As opposed to the Pass, where you lose on 3 and win on 2 in the come out.)
In: Mathematics
It isn’t the number of possible numbers that show why the house has the advantage. It is the number of possible combinations to get those numbers. There is only one way to roll a 2, whereas a seven can be reached multiple ways, meaning you are more likely to roll a 7 than a 2, so they do not cancel each other out.
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