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Find the probability of getting a sum of 7 and call that p(7). Now the complement rule says 1-p(7) is the probability of not getting 7.
The ways we get 7 are 1 and 6, or 2 and 5, or 3 and 4.

If you make a table with 1-6 on the top and 1-6 on the side, you can let each entry in your table be the sum of the top row and the side column. Since this is a 6x6 table, you can see
there are 36 outcomes.
6 of those outcome result in a sum of 7.
They are:

1+6
6+1
2+5
5+2
3+4
4+3

So p(7) =6/36 or 1/6. P of not getting 7 is 1-1/6=5/6

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Q: What is the probability of not getting a 7 on the roll of two dice?
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