For stratified sampling, check https://stackoverflow.com/a/52901452/132438
Good job finding it :). I requested the function recently, but it hasn't made it to documentation yet.
I would say the advantage of RAND() is that the results will vary, while HASH() will keep giving you the same results for the same values (not guaranteed over time, but you get the idea).
In case you want the variability that RAND() brings while still getting consistent results - you can seed it with an integer, as in RAND(3).
Notice though that the example you pasted is doing a full sort of the random values - for sufficiently big inputs this approach won't scale.
A scalable approach, to get around 10 random rows:
SELECT word
FROM [publicdata:samples.shakespeare]
WHERE RAND() < 10/164656
(where 10 is the approximate number of results I want to get, and 164656 the number of rows that table has)
standardSQL update:
#standardSQL
SELECT word
FROM `publicdata.samples.shakespeare`
WHERE RAND() < 10/164656
or even:
#standardSQL
SELECT word
FROM `publicdata.samples.shakespeare`
WHERE RAND() < 10/(SELECT COUNT(*) FROM `publicdata.samples.shakespeare`)