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The odds of not rolling a 1 or 2 with two dice is 35 in 36. The odds of doing that 25 times in a row is (35/36)25 or about 0.4945

Note: The odds of not rolling a 1 is zero, so the answer degraded to the odds of not rolling a 2.


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Opinion #2:

-- There are 36 possible outcomes when 2 dice are rolled.
-- Only one of the outcomes is a 2.
-- So the probability of NOT rolling a 2 with 2 dice is 35/36 .

-- In 25 consecutive rolls, the probability of never rolling a 2 is (35/36)25 = 49.45% .

-- The 'odds' are 1,011 to 989 against it.

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Q: When rolling two dice what are the odds of not rolling a 1 or 2 25 times in a row?
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