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Is this number computable or uncomputable?

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Depends on which number you generate, obviously. For example if you generate the digits of pi, then it's computable.

It will be uncomputable with probability 1, since there are only countably many computable numbers, so the probability of generating a computable number is 0.
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If you're trying to randomizer across the entire population, you would want a 10 sided die, not 9.
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