If I had to guess I'd say that fridges and other drink dispensers work on exactly the same pseudo-random number generator as dice-masters and holodice do.
Pick a fridge item that dispenses 6 or more independent items. Assign a numerical value, 1-6, to 6 of those items and denote any excess items the fridge dispenses as having null value i.e you reroll if you pull a null item from the fridge. It would only be marginally more work than dice are because you'd have to take note of which items got pulled from the fridge since taking a new item replaces the old one (whereas with dice whatever rolled value just remains on the individual dice while you roll the others obviously).
I can't see them imposing a limit on number of fridges per room. Even if they did they'd need to factor in permutations of different fridge items since there are a load of items that dispense the same drinks. They'd probably just alter fridges to dish out drinks in a fixed order if this caught on (which would mean the end of Don't Get a Carrot, tragically).






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