The ball's density also varies, but players don't learn the value until after choosing their raquets. The infamous 'bowling ball table tennis' region of the parameter space often leads to equipment damage.
Your can recreate something like that as a dinner with friends/family, more fun when there's a whole bunch of people!
The menu is written in gibberish, three courses, people at the table choose an utensil, a dish and a meal for each course, only the people in the kitchen know what each item on the menu is.
Good luck eating spaghetti out of a coffee mug with a knife 😂
Why would you ever choose a coffee mug and a knife as your dish and utensil? That doesn't work for any food... And a deep plate/wide bowl + fork would work for basically everything.
All you need is a series of rackets, balls, nets, tables of various sizes, and a giant court that you can paint onto and you can do it was any rng generator.
Are we confined to only finite positive values? If so, are there upper or lower limits? I’m kinda curious about how the game would go with a ball smaller than a spec of dust. Or how about a court twice the size of the observable universe?
Densities can get very interesting too if the ball collapses under its own mass into a singularity? Or how about a ball with neutron star density without the gravity to push it together? This is getting into the what if territory again.