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Answer: 17 to 1

Out of 36 possibilities for two dice, a total of three

can be made by

1 + 2 OR

2 +1

That makes the chances FOR equal to 1/36 plus 1/36, or 2/36 or 1 in 18 throws.

The odds against are therefore 17 to 1.

"On the average," you will 17 non-threes for each three.

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Q: What are the odds against rolling a three on 2 dice?
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