To begin, I shared a presentation of the different games they could choose from to play by themselves or with a table partner. I had a list sheet for them in which they recorded a simple check mark next to each game with their interest level (yes or no). I then used the Random Name Picker on Classtools, I called up tables to select their game(s). When they came up to pick their game (regardless of when their table was called), they had an idea of games they were interested and could make a quick choice. Surprisingly, I did not hear any complaining from the tables that were picked towards the end - they knew it was all random and that there were plenty of options to choose from.