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About 1.5%

The odds of rolling a 7 on any particular throw is 1/6. (There are six ways you can roll a seven: (1,6), (2,5), (3,4), (4,3), (5,2), (6,1), out of 36 possible outcomes.) Therefore, the odds that you don't roll a 7 on a particular roll is 5/6. The odds that you don't roll a 7 in 23 rolls is:

(5/6)^23, or approximately .015=1.5%

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Q: What are the odds of not rolling a 7 with a pair of 6 sided dice in 23 rolls?
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