Select random rows from Postgres table weighted towards value in column

Users are presented with 2 random items from an assets table to vote on.

There is a votes_count column in the assets table that counts each time users vote.

When choosing the 2 random items, I'd like to weight that more towards a lower value in votes_count. So items with a lower vote count have a higher probability of being selected randomly.

How can I do this with Postgres?

I've used various methods for selecting random records (RAND(), TABLESAMPLE BERNOULLI(), TABLESAMPLE SYSTEM()), but those don't have the weighting that I'm after.

I'm running PostgreSQL 13, FWIW.