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> The sun has risen at least 166 times already, but it is not proof that the sun will rise tomorrow.

If the sun has risen at least 166 times, the probability that it will rise tomorrow is at least 99.4% according to https://en.wikipedia.org/wiki/Sunrise_problem

> The sun has risen at least 166 times already, but it is not proof that the sun will rise tomorrow

Not proof, but it very strongly implies it

However, there is much greater than 50% chance that it will.