Partial Answer for a Picture in case it helps someone see something:
Following the rules of: https://en.wikipedia.org/wiki/Fizz_buzz
I have replaced all the numbers divisible by 3 with FIZZ, 5 by BUZZ, and by 15 FIZZBUZZ.
Assume that both:
1. The speech bubbles all represent a group of players attempting to provide answers to the game;
2. The speech bubbles which remain when the image is clicked are the responses considered valid.
Then the rule governing whether an answer is valid is simply whether:
It is divisible by 3
This is hinted at in the title, since:
In the classroom mathematics game 'FizzBuzz' the word 'fizz' is used to replace all numbers divisible by 3.