Grab all the id's, pick a random one from it, and retrieve the full row.
If you know the id's are sequential without holes, you can just grab the max and calculate a random id.
If there are holes here and there but mostly sequential values, and you don't care about a slightly skewed randomness, grab the max value, calculate an id, and select the first row with an id equal to or above the one you calculated. The reason for the skewing is that id's following such holes will have a higher chance of being picked than ones that follow another id.
If you order by random, you're going to have a terrible table-scan on your hands, and the word quick doesn't apply to such a solution.
Don't do that, nor should you order by a GUID, it has the same problem.
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